Contents

Ars Combinatoria

  • Research article

A Note on \(q\)-Bernoulli Numbers and \(q\)-Bernstein Polynomials

Taekyun Kim1, Cheon Seoung Ryoo2, Heungsu Yi3
1Division of GENERAL EpucaTIon, KWANGWOON UNIversiry, SEOUL 139-701, KOREA
2DEPARTMENT OF Maruematics, HANNAM UNIVERSITY, DAEJEON 306-791, KOREA
3DEPARTMENT OF MATHEMATICS, KWANGWOON UNIVERSITY, SEOUL 139-701, KOREA
  • Published: 30/04/2012

Abstract

The purpose of this paper is to investigate some properties of several \(g\)-Bernstein type polynomials to express the bosonic \(p\)-adic \(q\)-integral of those polynomials on \(\mathbb{Z}_p\).

Citation
Taekyun Kim, Cheon Seoung Ryoo, Heungsu Yi. A Note on \(q\)-Bernoulli Numbers and \(q\)-Bernstein Polynomials[J], Ars Combinatoria, Volume 104. 437-447. .