On p-adic analogue of q-Bernstein polynomials and related integrals

2010/09/17 by Taekyun Kim, Kim, Taekyun, Lee-Chae jang +7
Mathematics · #11B68 #11S80 #Advanced Algebra and Geometry #Advanced Mathematical Identities #FOS: Mathematics #Number Theory (math.NT) #advanced mathematical theories #math.NT #msc:11B68 #msc:11S80

paper · pdf · doi:10.48550/arxiv.1009.3436

8 pages

arxiv created 2010/09/17 · openalex publication_date 2010/09/17 · arxiv updated 2010/09/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we give p-adic q-integral representation for the Kim's q-Bernstein polynomials and we give some interesting formulae realted to Carlitz's q-Bernoulli numbers.

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