All Stories

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