On -Adic Analogue of -Bernstein Polynomials and Related IntegralsReport as inadecuate

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Discrete Dynamics in Nature and SocietyVolume 2010 2010, Article ID 179430, 9 pages

Research Article

Division of General Education-Mathematics, Kwangwoon University, Seoul 139-701, Republic of Korea

Department of Mathematics and Computer Science, KonKuk University, Chungju 380-701, Republic of Korea

Received 17 September 2010; Accepted 22 December 2010

Academic Editor: Binggen Zhang

Copyright © 2010 T. Kim et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


Recently, Kim-s work in press introduced -Bernstein polynomials which are different Phillips-Bernstein polynomials introduced in the work by Phillips, 1996; 1997. The purpose of this paper is to study some properties of several type Kim-s -Bernstein polynomials to express the -adic -integral of these polynomials on associated with Carlitz-s -Bernoulli numbers and polynomials. Finally, we also derive some relations on the -adic -integral of the products of several type Kim-s -Bernstein polynomials and the powers of them on .

Author: T. Kim, J. Choi, Y. H. Kim, and L. C. Jang

Source: https://www.hindawi.com/


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