Some Identities on Degenerate Bernstein and Degenerate Euler Polynomials

Taekyun Kim and Dae San Kim
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Taekyun Kim: Department of Mathematics, Kwangwoon University, Seoul 139-701, Korea
Dae San Kim: Department of Mathematics, Sogang University, Seoul 121-742, Korea

Mathematics, 2019, vol. 7, issue 1, 1-10

Abstract: In recent years, intensive studies on degenerate versions of various special numbers and polynomials have been done by means of generating functions, combinatorial methods, umbral calculus, p -adic analysis and differential equations. The degenerate Bernstein polynomials and operators were recently introduced as degenerate versions of the classical Bernstein polynomials and operators. Herein, we firstly derive some of their basic properties. Secondly, we explore some properties of the degenerate Euler numbers and polynomials and also their relations with the degenerate Bernstein polynomials.

Keywords: degenerate Bernstein polynomials; degenerate Bernstein operators; degenerate Euler polynomials (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2019
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