Some identities on Bernstein polynomials associated with q-Euler polynomials

TL;DR

This paper explores properties of q-Euler numbers and polynomials, deriving new identities involving Bernstein polynomials and q-Euler polynomials to deepen understanding of their mathematical relationships.

Contribution

It introduces novel identities connecting Bernstein polynomials with q-Euler polynomials based on their properties.

Findings

Derived new identities linking Bernstein and q-Euler polynomials

Enhanced understanding of q-Euler polynomial properties

Established relationships useful for further mathematical research

Abstract

In this paper we investigate some properties for the q-Euler numbers ans polymials. From these properties we give some identities on the Bernstein polymials and q-Euler polynpmials.