Open Access
2017 Approximation Properties of q-Bernoulli Polynomials
M. Momenzadeh, I. Y. Kakangi
Abstr. Appl. Anal. 2017: 1-6 (2017). DOI: 10.1155/2017/9828065


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.


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M. Momenzadeh. I. Y. Kakangi. "Approximation Properties of q-Bernoulli Polynomials." Abstr. Appl. Anal. 2017 1 - 6, 2017.


Received: 8 August 2017; Accepted: 29 October 2017; Published: 2017
First available in Project Euclid: 9 January 2018

zbMATH: 06929574
MathSciNet: MR3737952
Digital Object Identifier: 10.1155/2017/9828065

Rights: Copyright © 2017 Hindawi

Vol.2017 • 2017
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