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Approximation Properties of q‐Bernoulli Polynomials

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  • M. Momenzadeh
  • I. Y. Kakangi

Abstract

We study the q‐analogue of Euler‐Maclaurin formula and by introducing a new q‐operator we drive to this form. Moreover, approximation properties of q‐Bernoulli polynomials are discussed. We estimate the suitable functions as a combination of truncated series of q‐Bernoulli polynomials and the error is calculated. This paper can be helpful in two different branches: first we solve the differential equations by estimating functions and second we may apply these techniques for operator theory.

Suggested Citation

  • M. Momenzadeh & I. Y. Kakangi, 2017. "Approximation Properties of q‐Bernoulli Polynomials," Abstract and Applied Analysis, John Wiley & Sons, vol. 2017(1).
    • Handle: RePEc:wly:jnlaaa:v:2017:y:2017:i:1:n:9828065
    DOI: 10.1155/2017/9828065
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    1. Zogheib, Bashar & Tohidi, Emran, 2016. "A new matrix method for solving two-dimensional time-dependent diffusion equations with Dirichlet boundary conditions," Applied Mathematics and Computation, Elsevier, vol. 291(C), pages 1-13.
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