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Kim, Min-Soo; Kim, Taekyun; Lee, Byungje; Ryoo, Cheon-Seoung

Some identities of Bernoulli numbers and polynomials associated with Bernstein polynomials. (English) Zbl 1221.11059

Adv. Difference Equ. 2010, Article ID 305018, 7 p. (2010).
The authors introduce the Bernstein polynomials on the ring of \(p\)-adic integers \(\mathbb Z_p\) and investigate certain properties of the Bernstein polynomials related to the bosonic \(p\)-adic integrals on \(\mathbb Z_p\).
Reviewer: Florin Nicolae (Berlin)

Cited in 1 Document

MSC:

11B68 Bernoulli and Euler numbers and polynomials
11S80 Other analytic theory (analogues of beta and gamma functions, \(p\)-adic integration, etc.)

Keywords:

Bernoulli numbers; Bernstein polynomials
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\textit{M.-S. Kim} et al., Adv. Difference Equ. 2010, Article ID 305018, 7 p.. (2010; Zbl 1221.11059)
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References:

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