All Stories

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