Approximation Properties of q‐Bernoulli Polynomials

M. Momenzadeh and I. Y. Kakangi

Abstract and Applied Analysis, 2017, vol. 2017, issue 1

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.

Date: 2017
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https://doi.org/10.1155/2017/9828065

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2017:y:2017:i:1:n:9828065

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