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Some identities for q-Bernoulli numbers and polynomials arising from q-Bernstein polynomials
- Authors
- Jang, L.-C.; Kim, D.S.; Jang, G.-W.; Kwon, J.
- Issue Date
- 2018
- Publisher
- Jangjeon Mathematical Society
- Keywords
- P-adic q-Bernstein operators; P-adic q-Bernstein polynomials; Q-Bernoulli numbers; Q-Bernoulli polynomials
- Citation
- Advanced Studies in Contemporary Mathematics (Kyungshang), v.28, no.4, pp 659 - 667
- Pages
- 9
- Indexed
- SCOPUS
KCI
- Journal Title
- Advanced Studies in Contemporary Mathematics (Kyungshang)
- Volume
- 28
- Number
- 4
- Start Page
- 659
- End Page
- 667
- ISSN
- 1229-3067
- Abstract
- In this paper, we study q-Bernoulli numbers and polynomials which are different from Garlitz q-Bernoulli numbers and polynomials and arising from p-adic invariant integrals on Zp, and investigate some properties of these numbers and polynomials. Then we will consider p-adic invariant integrals on Zp of the g-Bernstein polynomials and show that they can be expressed in terms of the q-Bernoulli numbers. In addition, from such p-adic invariant integrals we will derive some identities for the q-Bernoulli numbers. ? 2018 Advanced Studies in Contemporary Mathematics (Kyungshang). All rights reserved.
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