On p-Adic Analogue of q-Bernstein Polynomials and Related Integrals
Joint Authors
Jang, Lee-Chae
Kim, Young-Hee
Kim, Taekyun
Choi, Jongsung
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2010, Issue 2010 (31 Dec. 2010), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2011-01-05
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
Recently, Kim's work (in press) introduced q-Bernstein polynomials which are different Phillips' q-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 q-Bernstein polynomials to express the p-adic q-integral of these polynomials on ℤp associated with Carlitz's q-Bernoulli numbers and polynomials.
Finally, we also derive some relations on the p-adic q-integral of the products of several type Kim's q-Bernstein polynomials and the powers of them on ℤp.
American Psychological Association (APA)
Kim, Taekyun& Choi, Jongsung& Kim, Young-Hee& Jang, Lee-Chae. 2011. On p-Adic Analogue of q-Bernstein Polynomials and Related Integrals. Discrete Dynamics in Nature and Society،Vol. 2010, no. 2010, pp.1-9.
https://search.emarefa.net/detail/BIM-452232
Modern Language Association (MLA)
Kim, Taekyun…[et al.]. On p-Adic Analogue of q-Bernstein Polynomials and Related Integrals. Discrete Dynamics in Nature and Society No. 2010 (2010), pp.1-9.
https://search.emarefa.net/detail/BIM-452232
American Medical Association (AMA)
Kim, Taekyun& Choi, Jongsung& Kim, Young-Hee& Jang, Lee-Chae. On p-Adic Analogue of q-Bernstein Polynomials and Related Integrals. Discrete Dynamics in Nature and Society. 2011. Vol. 2010, no. 2010, pp.1-9.
https://search.emarefa.net/detail/BIM-452232
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-452232
