On ð ‘ -Adic Analogue of ð ‘ž -Bernstein Polynomials and Related Integrals

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

Discrete Dynamics in Nature and Society, 2010, vol. 2010, 1-9

Abstract:

Recently, Kim's work (in press) introduced ð ‘ž -Bernstein polynomials which are different Phillips' ð ‘ž -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 ð ‘ž -Bernstein polynomials to express the ð ‘ -adic ð ‘ž -integral of these polynomials on ℤ ð ‘ associated with Carlitz's ð ‘ž -Bernoulli numbers and polynomials. Finally, we also derive some relations on the ð ‘ -adic ð ‘ž -integral of the products of several type Kim's ð ‘ž -Bernstein polynomials and the powers of them on ℤ ð ‘ .

Date: 2010
References: Add references at CitEc
Citations:

Downloads: (external link)
http://downloads.hindawi.com/journals/DDNS/2010/179430.pdf (application/pdf)
http://downloads.hindawi.com/journals/DDNS/2010/179430.xml (text/xml)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:hin:jnddns:179430

DOI: 10.1155/2010/179430

Access Statistics for this article

More articles in Discrete Dynamics in Nature and Society from Hindawi
Bibliographic data for series maintained by Mohamed Abdelhakeem ().