International journal of

ADVANCED AND APPLIED SCIENCES

EISSN: 2313-3724, Print ISSN:2313-626X

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 Volume 5, Issue 1 (January 2018), Pages: 61-65

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 Original Research Paper

 Title: On the study of modified (p, q)- Bernstein polynomials and their applications

 Author(s): Erkan Agyuz *, Mehmet Acikgoz

 Affiliation(s):

 Department of Mathematics, Gaziantep University, Gaziantep, Turkey

 https://doi.org/10.21833/ijaas.2018.01.008

 Full Text - PDF          XML

 Abstract:

The main aim of this article is to construct modified (p, q)- Bernstein polynomials which different from the (p, q) - Bernstein polynomials. We establish some new formulas and identities for Euler and Bernoulli polynomials and Stirling numbers of the second kind. Furthermore, we investigate some new properties by using these new polynomials arising from (p, q) -calculus. We also show our new polynomials and their generating function visually for some special values. 

 © 2017 The Authors. Published by IASE.

 This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/).

 Keywords: Bernstein polynomials, Binomial coefficients, (p, q)- Calculus

 Article History: Received 5 May 2017, Received in revised form 20 October 2017, Accepted 18 November 2017

 Digital Object Identifier: 

 https://doi.org/10.21833/ijaas.2018.01.008

 Citation:

 Agyuz E and Acikgoz M (2018). On the study of modified (p, q)- Bernstein polynomials and their applications. International Journal of Advanced and Applied Sciences, 5(1): 61-65

 Permanent Link:

 http://www.science-gate.com/IJAAS/2018/V5I1/Agyuz.html

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