On the fermionic \(p\)-adic integral representation of Bernstein polynomials associated with Euler numbers and polynomials

DOI10.1155/2010/864247zbMath1239.11020arXiv1008.5207OpenAlexW1971868806WikidataQ59253150 ScholiaQ59253150MaRDI QIDQ623646

Sumit K. Garg

Publication date: 8 February 2011

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1008.5207

zbMATH Keywords

Bernstein polynomials Euler numbers

Mathematics Subject Classification ID

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

Related Items

A note on the values of weighted \(q\)-Bernstein polynomials and weighted \(q\)-Genocchi numbers ⋮ Some identities on the higher-order-twisted \(q\)-Euler numbers and polynomials with weight \(\alpha\) ⋮ Some new identities on the \(q\)-Genocchi numbers and polynomials with weight \(\alpha\) ⋮ Identities involving values of Bernstein, \(q\)-Bernoulli, and \(q\)-Euler polynomials ⋮ Some identities of the twisted \(q\)-Genocchi numbers and polynomials with weight \(\alpha\) and \(q\)-Bernstein polynomials with weight \(\alpha\) ⋮ A study on the fermionic \(p\)-adic \(q\)-integral representation on \(\mathbb Z_p\) associated with weighted \(q\)-Bernstein and \(q\)-Genocchi polynomials ⋮ Some relations between twisted \((h, q)\)-Euler numbers with weight \(a\) and \(q\)-Bernstein polynomials with weight \(a\) ⋮ Identities on the Bernoulli and Genocchi numbers and polynomials ⋮ Some identities of fully degenerate Bernoulli polynomials associated with degenerate Bernstein polynomials

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