All Stories

  1. The Obreschkoff–Ostrowski’s inequalities via Fink type identity
  2. Convergence-Equivalent DF and AR Iterations with Refined Data Dependence: Non-Asymptotic Error Bounds and Robustness in Fixed-Point Computations
  3. A gradient projection algorithm based on the normal-S iterative algorithm: convergence analysis and machine learning application
  4. Truncated Gegenbauer-Hermite weighted approach for the enrichment of the Crouzeix-Raviart finite element
  5. Numerical Analysis and Optimization
  6. Flexible and Efficient Iterative Solutions for General Variational Inequalities in Real Hilbert Spaces
  7. Gauss quadrature rules for integrals involving weight functions with variable exponents and an application to weakly singular Volterra integral equations
  8. Orthogonal Polynomials on Radial Rays in the Complex Plane: Construction, Properties and Applications
  9. On spherical shells containing all the zeros of a quaternionic polynomial
  10. On annuli containing all the zeros of a polynomial with quaternionic coefficients (pp.264-276)
  11. Simultaneous Method for Solving Certain Systems of Matrix Equations with Two Unknowns
  12. Numerical calculation of the extension of k-beta function and some new extensions by using two parameter k-Mittag-Leffler function
  13. Novel algorithms based on forward-backward splitting technique: effective methods for regression and classification
  14. Special issue on advances in quadrature, cubature, and the solution of integral equations with applications
  15. Gaussian type quadrature rules related to the oscillatory modification of the generalized Laguerre weight functions
  16. Application of Gradient Optimization Methods in Defining Neural Dynamics
  17. On zeros of the regular power series of a quaternionic variable
  18. Elements of mathematical phenomenology and analogies of electrical and mechanical oscillators of the fractional type with finite number of degrees of freedom of oscillations: linear and nonlinear modes
  19. On the zeros of polynomials and related regular functions of a quaternionic variable
  20. On zero inclusion regions of polynomials and regular functions of a quaternionic variable
  21. A Ramanujan integral and its derivatives: computation and analysis
  22. Summation identities for the Kummer confluent hypergeometric function 1F1(a; b;z)
  23. Teaching computing for complex problems in civil engineering and geosciences using big data and machine learning: synergizing four different computing paradigms and four different management domains
  24. A Modified Dai–Liao Conjugate Gradient Method Based on a Scalar Matrix Approximation of Hessian and Its Application
  25. Quadrature processes for efficient calculation of the Clausen functions
  26. Specific values of partial bell polynomials and series expansions for real powers of functions and for composite functions
  27. Bounds for the (45d,;d)-extended Beta function and certain consequences
  28. On the zero bounds of polynomials and regular functions of a quaternionic variable
  29. Orthogonality on the semicircle: old and new results
  30. Symbolic computation of recurrence coefficients for polynomials orthogonal with respect to the Szegő-Bernstein weights
  31. Error Probability of a Coherent M-ary PSK FSO System Influenced by Phase Noise
  32. Estimates for the polar derivative of a constrained polynomial on a disk
  33. On the zeros of a quaternionic polynomial with restricted coefficients
  34. Analysis of Generating Functions for Special Words and Numbers and Algorithms for Computation
  35. A Solution to Exponential Operators
  36. Weighted nonstandard quadrature formulas based on values of linear differential operators
  37. Accelerated Dai-Liao projection method for solving systems of monotone nonlinear equations with application to image deblurring
  38. Inequalities of Turán-type for algebraic polynomials
  39. Extension of Mathieu series and alternating Mathieu series involving the Neumann function $$Y_\nu $$
  40. Variational Inequality Problem Involving Multivalued Nonexpansive Mapping in CAT(0) Spaces
  41. A generalization of the array type polynomials
  42. Extremal Problems of Bernstein-Type and an Operator Preserving Inequalities between Polynomials
  43. Zeros of one class of quaternionic polynomials
  44. Extremal Problems and Inequalities of Markov-Bernstein Type for Algebraic Polynomial
  45. Orthogonal polynomials and generalized Gauss-Rys quadrature formulae
  46. Generalized Summation Formulas for the Kampé de Fériet Function
  47. Iterative approximation of fixed points and applications to two-point second-order boundary value problems and to machine learning
  48. Orthogonal polynomials relative to weight functions of Prudnikov type
  49. The roots of polynomials and the operator $$\Delta _i^3$$ on the Hahn sequence space h
  50. Multi-parameter Mathieu, and alternating Mathieu series
  51. A note on a further extension of Gauss’s second summation theorem with an application to the extension of two well-known combinatorial identities
  52. Stochastic Time Response and Ultimate Noise Performance of Adsorption-Based Microfluidic Biosensors
  53. Comparison inequalities between rational functions with prescribed poles
  54. Orthogonal polynomials relative to a generalized Marchenko–Pastur probability measure
  55. Estimates for the maximal modulus of rational functions with prescribed poles
  56. Inequalities for the maximum modulus of univariate constrained polynomials
  57. Ostrowski type inequalities and some selected quadrature formulae
  58. On the zeros of lacunary-type polynomials
  59. Some orthogonal polynomials on the finite interval and Gaussian quadrature rules for fractional Riemann‐Liouville integrals
  60. Generalizations of Zygmund-type integral inequalities for the polar derivative of a complex polynomial
  61. On the Erdős-Lax inequality concerning polynomials
  62. Certain estimates of Turán’s-type for the maximum modulus of the polar derivative of a polynomial
  63. Generalizations of a formula due to Kummer with applications
  64. Generalized hypergeometric identities with extra parameters
  65. A method for efficient computation of integrals with oscillatory and singular integrand
  66. Quadrature Formulas of Gaussian Type for Fast Summation of Trigonometric Series
  67. Gradient descent methods with step-size defined by multiple parameters.
  68. Properties of Some of Two-Variable Orthogonal Polynomials
  69. On a quadratic transformation due to Exton and its generalization
  70. A Note on Extraction of Orthogonal Polynomials from Generating Function for Reciprocal of Odd Numbers
  71. A generalization of divided differences and applications
  72. A note on sums of a class of series
  73. Best Constants for Poincaré–Type Inequalities in W 1 n ( 0 , 1 ) $$W^{n}_1(0,1)$$
  74. Quadrature with multiple nodes, power orthogonality, and moment-preserving spline approximation, part II
  75. Certain Laplace transforms of convolution type integrals involving product of two special pFp functions
  76. A class of polynomials and connections with Bernoulli’s numbers
  77. Remarks on “Application of Mixed Quadrature Rule on Electromagnetic Field Problems”
  78. Recurrence Relation and Differential Equation for a Class of Orthogonal Polynomials
  79. Efficient Numerical Methods for Analysis of Square Ratio of κ-μ and η-μ Random Processes with Their Applications in Telecommunications
  80. Truncation error analysis in computing of SEP and SEP floor for partially coherent receiver of MPSK signals over composite fading channels
  81. A study of generalized summation theorems for the series 2F1 with an applications to Laplace transforms of convolution type integrals involving Kummer's functions 1F1
  82. An extension of Pochhammer’s symbol and its application to hypergeometric functions, II
  83. Binet-type polynomials and their zeros
  84. Calculation of the channel discharge function for the generalized lightning traveling current source return stroke model
  85. Polynomial approximation with Pollaczeck-Laguerre weights on the real semiaxis. A survey
  86. Quadratures with multiple nodes for Fourier–Chebyshev coefficients
  87. Performance of SIM-MDPSK FSO Systems With Hardware Imperfections
  88. Generalized weighted Birkhoff–Young quadratures with the maximal degree of exactness
  89. Generating Functions for Special Polynomials and Numbers Including Apostol-Type and Humbert-Type Polynomials
  90. Some Reverse Hölder Type Inequalities Involving $$(k,s)-$$ ( k , s ) - Riemann-Liouville Fractional Integrals
  91. An extension of Pochhammer’s symbol and its application to hypergeometric functions
  92. Construction of Gaussian quadrature formulas for even weight functions
  93. OPTIMAL QUADRATURE FORMULAS FOR FOURIER COEFFICIENTS IN <i>W</i><sub>2</sub><sup>(<i>m</i>,<i>m</i>-1)</sup> 2 SPACE
  94. Some notes on weak subdifferential
  95. Summation Formulas of Euler–Maclaurin and Abel–Plana: Old and New Results and Applications
  96. Modified Stancu type Dunkl generalization of Szász–Kantorovich operators
  97. Symbolic–numeric computation of orthogonal polynomials and Gaussian quadratures with respect to the cardinal B-spline
  98. Efficient method for the computation of oscillatory Bessel transform and Bessel Hilbert transform
  99. A Nyström method for a class of Fredholm integral equations on the real semiaxis
  100. The Split-SV model
  101. (p, q)-Beta functions and applications in approximation
  102. Orthogonal Polynomials for Modified Chebyshev Measure of the First Kind
  103. Distributional properties and parameters estimation of GSB Process: An approach based on characteristic functions
  104. Generalized Gaussian quadratures for integrals with logarithmic singularity
  105. Quadrature Rules with Multiple Nodes
  106. Signal-to-Noise Ratio in Adsorption-Based Microfluidic Bio/Chemical Sensors
  107. Weighted quadrature formulas for semi-infinite range integrals
  108. Positive Solutions of a Class of Operator Equations
  109. Efficient computation of highly oscillatory integrals with Hankel kernel
  110. Optimal quadratures in the sense of Sard in a Hilbert space
  111. Generalized quadrature rules of Gaussian type for numerical evaluation of singular integrals
  112. A Reliability-Based Approach to Nonrepairable Spare Part Forecasting in Aircraft Maintenance System
  113. A Transformation of Accelerated Double Step Size Method for Unconstrained Optimization
  114. Some results on the extended beta and extended hypergeometric functions
  115. Nonstandard Gauss—Lobatto quadrature approximation to fractional derivatives
  116. Analytic Number Theory, Approximation Theory, and Special Functions
  117. Optimal quadrature formula in the sense of Sard in K2(P3) space
  118. Trigonometric multiple orthogonal polynomials of semi-integer degree and the corresponding quadrature formulas
  119. Numerical Integration of Highly Oscillating Functions
  120. Optimal Quadrature Formulas and Interpolation Splines Minimizing the Semi-Norm in the Hilbert Space $$K_{2}(P_{2})$$
  121. Gaussian quadrature rules with an exponential weight on the real semiaxis
  122. Properties of Boubaker polynomials and an application to Love’s integral equation
  123. Upgraded Petri net model and analysis of adaptive and static arithmetic coding
  124. Kronrod extensions with multiple nodes of quadrature formulas for Fourier coefficients
  125. Nyström method for Fredholm integral equations of the second kind in two variables on a triangle
  126. Interpolation splines minimizing a semi-norm
  127. A note on an error bound of Gauss-Turán quadrature with the Chebyshev weight
  128. Closed expressions for coefficients in weighted Newton-Cotes quadratures
  129. New integral forms of generalized Mathieu series and related applications
  130. Statistics for Ratios of Rayleigh, Rician, Nakagami-m, and Weibull Distributed Random Variables
  131. Some properties of a hypergeometric function which appear in an approximation problem
  132. Gaussian interval quadrature rule for exponential weights
  133. Generalized quadrature formulae for analytic functions
  134. Explicit Formulas and Combinatorial Identities for Generalized Stirling Numbers
  135. A trigonometric orthogonality with respect to a nonnegative Borel measure
  136. Numerical integration of analytic functions
  137. On an interpolation process of Lagrange-Hermite type
  138. Preface of the “Symposium on approximation, scientific computation and applications ASCA-2012”
  139. Quadrature formulae for problems in mechanics
  140. Some properties of Boubaker polynomials and applications
  141. Multiple Orthogonality and Applications in Numerical Integration
  142. A generalized Birkhoff–Young–Chebyshev quadrature formula for analytic functions
  143. Rational algorithm for quadratic Christoffel modification and applications to the constrainedL2-approximation
  144. Statistical analysis of the square ratio of two multivariate exponentially correlated
  145. Explicit forms of weighted quadrature rules with geometric nodes
  146. On Drazin inverse of operator matrices
  147. On an optimal quadrature formula in the sense of Sard
  148. Calculation of coefficients of a cardinal B-spline
  149. Bounds of the error of Gauss–Turán-type quadratures, II
  150. Error estimates for Gaussian quadratures of analytic functions
  151. Gaussian quadrature rules using function derivatives
  152. Well-conditioned matrices for numerical treatment of Fredholm integral equations of the second kind
  153. Orthogonal polynomials for modified Gegenbauer weight and corresponding quadratures
  154. Quadrature formulae with multiple nodes and a maximal trigonometric degree of exactness
  155. Nonstandard Gaussian quadrature formulae based on operator values
  156. Numerical Integration with Complex Jacobi Weight Function
  157. Trigonometric orthogonal systems and quadrature formulae
  158. Some numerical methods for second-kind Fredholm integral equations on the real semiaxis
  159. Positive definite solutions of some matrix equations
  160. On the remainder term of Gauss–Radau quadratures for analytic functions
  161. Error estimates for Gauss-Turan quadratures and their Kronrod extensions
  162. Explicit formulas for five-term recurrence coefficients of orthogonal trigonometric polynomials of semi-integer degree
  163. Orthogonal polynomials for the oscillatory-Gegenbauer weight
  164. Interpolation Processes
  165. Maximum of the modulus of kernels in Gauss-Turán quadratures
  166. Gauss–Hermite interval quadrature rule
  167. Gaussian quadratures for oscillatory integrands
  168. Linearizability conditions for a cubic system
  169. A note on the bounds of the error of Gauss–Turán-type quadratures
  170. Gauss–Turán quadratures of Kronrod type for generalized Chebyshev weight functions
  171. Quadrature rules with multiple nodes for evaluating integrals with strong singularities
  172. Gauss-Radau and Gauss-Lobatto interval quadrature rules for Jacobi weight function
  173. Some inequalities for symmetric functions and an application to orthogonal polynomials
  174. Gauss–Laguerre interval quadrature rule
  175. Orthogonal polynomials and Gaussian quadrature rules related to oscillatory weight functions
  176. Bounds of the error of Gauss–Turán-type quadratures
  177. An Error Expansion for some Gauss–Turán Quadratures and L1-Estimates of the Remainder Term
  178. Gaussian-type Quadrature Rules for Müntz Systems
  179. Numerical inversion of the Laplace transform
  180. Remarks on “Orthogonality of some sequences of the rational functions and Müntz polynomials”
  181. Uniqueness and computation of Gaussian interval quadrature formula for Jacobi weight function
  182. Error analysis in some Gauss–Turán–Radau and Gauss–Turán–Lobatto quadratures for analytic functions
  183. Some Finite Summation Formulas Involving Multivariable Hypergeometric Polynomials
  184. Error bounds for Gauss-Turán quadrature formulae of analytic functions
  185. Complex Jacobi matrices and quadrature rules
  186. Numerical construction of the generalized Hermite polynomials
  187. Extremal problems, inequalities, and classical orthogonal polynomials
  188. Weighted integration of periodic functions on the real line
  189. Quadrature formulae connected to σ-orthogonal polynomials
  190. Quadratures with multiple nodes, power orthogonality, and moment-preserving spline approximation
  191. Discrete Inequalities of Wirtinger’s Type
  192. Recent Progress in Inequalities
  193. S-orthogonality and construction of Gauss-Turán-type quadrature formulae
  194. Summation of series and Gaussian quadratures, II
  195. Extremal Problems of Markov's Type for Some Differential Operators
  196. Topics in Polynomials
  197. On polynomials orthogonal on a circular arc
  198. Weighted L2-Analogs of Bernstein′s Inequality and Classical Orthogonal Polynomials
  199. An Estimate for Coefficients of Polynomials in L 2 -Norm
  200. An estimate for coefficients of polynomials in
  201. On polynomials orthogonal on the semicircle and applications
  202. Numerical differentiation of analytic functions using quadratures on the semicircle
  203. On an inequality of Bogar and Gustafson
  204. Extremal Problems for Lorentz Classes of Nonnegative Polynomials in L 2 Metric with Jacobi Weight
  205. Polynomials orthogonal on the semicircle, II
  206. The numerical evaluation of singular integrals with coth-kernel
  207. Moment-preserving spline approximation on finite intervals
  208. On computational efficiency of the iterative methods for the simultaneous approximation of polynomial zeros
  209. On numerical evaluation of double integrals of an analytic function of two complex variables
  210. Some higher-order methods for the simultaneous approximation of multiple polynomial zeros
  211. A generalization of a result of A. Meir for non-decreasing sequences
  212. Least Squares Approximation With Constraints
  213. Polynomials orthogonal on the semicircle
  214. Spline approximations to spherically symmetric distributions
  215. An Extremal Problem for Polynomials with Nonnegative Coefficients
  216. Supplement to Gaussian Quadrature Involving Einstein and Fermi Functions with an Application to Summation of Series
  217. Gaussian Quadrature Involving Einstein and Fermi Functions with an Application to Summation of Series
  218. On the convergence order of a modified method for simultaneous finding polynomial zeros
  219. A note on some improvements of the simultaneous methods for determination of polynomial zeros
  220. On discrete inequalities of Wirtinger's type
  221. Simple optimization method of one-dimensional M-PAM constellations for the AWGN channels