Approximation Properties of -Bernoulli Polynomials

M. Momenzadeh and I. Y. Kakangi

Abstract and Applied Analysis, 2017, vol. 2017, 1-6

Abstract:

We study the -analogue of Euler-Maclaurin formula and by introducing a new -operator we drive to this form. Moreover, approximation properties of -Bernoulli polynomials are discussed. We estimate the suitable functions as a combination of truncated series of -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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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:9828065

DOI: 10.1155/2017/9828065

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