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.
Subject
General Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)
Reference26 articles.
1. Some relation between the Bernstein polynomials and second kind Bernoulli polynomials;Kurt;Adv. Stud. Contemp. Math. (Kyungshang),2013
2. Some identities on the weighted q-Euler numbers and q-Bernstein polynomials
3. A note on q-Bernstein polynomials
4. A study on the q–Euler numbers and the fermionic q–integral of the product of several type q–Bernstein polynomials on ℤp;Kim;Adv. Stud. Contemp. Math. (Kyungshang),2013
5. A Study on the -Adic -Integral Representation on Associated with the Weighted -Bernstein and -Bernoulli Polynomials
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