Identities involving values of Bernstein, q-Bernoulli and q-Euler polynomials

TL;DR

This paper explores relationships among q-Bernoulli, q-Euler, and Bernstein polynomials, deriving new identities that deepen understanding of their interconnected properties.

Contribution

It introduces novel identities linking q-Bernoulli, q-Euler, and Bernstein polynomials based on their values and relations.

Findings

New identities among q-Bernoulli, q-Euler, and Bernstein polynomials

Enhanced understanding of polynomial interrelations

Potential applications in approximation theory

Abstract

In this paper we give some relation involving values of q-Bernoulli, q-Euler and Bernstein polynomials. From these relations, we obtain some interesting identities on the q-Bernoulli, q-Euler and Bernstein polynomials.