Approximation properties of \(q\)-Bernoulli polynomials

DOI10.1155/2017/9828065zbMath1470.41005arXiv1711.00924OpenAlexW2963785895MaRDI QIDQ1667583

Peng Zhang

Publication date: 30 August 2018

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1711.00924

Mathematics Subject Classification ID

Approximation by polynomials (41A10) Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.) (33D45)

Related Items (2)

Application of orthonormal Bernoulli polynomials for approximate solution of some Volterra integral equations ⋮ Exact and numerical solution of Abel integral equations by orthonormal Bernoulli polynomials

Cites Work

• A new matrix approach for solving second-order linear matrix partial differential equations
• \(q\)-fractional calculus and equations
• A collocation method based on the Bernoulli operational matrix for solving nonlinear BVPs which arise from the problems in calculus of variation
• On a class of \(q\)-Bernoulli, \(q\)-Euler, and \(q\)-Genocchi polynomials
• A new matrix method for solving two-dimensional time-dependent diffusion equations with Dirichlet boundary conditions
• \(q\)-Bernoulli numbers and polynomials
• Operational methods and solutions of boundary-value problems with periodic data
• An introduction to operational techniques and special polynomials
• Generating Functions for the $q$-Bernstein Bases
• A Note on q-Bernoulli Numbers and Polynomials
• Quantum calculus
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