Approximation Properties of q-Bernoulli Polynomials

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...

Full description

Bibliographic Details
Main Authors: M. Momenzadeh, I. Y. Kakangi
Format: Article
Language:English
Published: Hindawi Limited 2017-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2017/9828065