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

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.

12 pages

References in corpus (2)

• On the multiple q-Genocchi and Euler numbers
• Some identities on Bernstein polynomials associated with q-Euler polynomials

Cited by in corpus (16)

• Some New Identities of Genocchi Numbers and Polynomials involving Bernoulli and Euler polynomials
• Higher-order Cauchy of the first kind and poly-Cauchy of the first kind mixed type polynomials
• Some identities for Bernoulli polynomials involving Chebyshev polynomials
• Poly-Cauchy numbers and polynomials with umbral calculus viewpoint
• A note on the (h,q)-Zeta type function with weight alpha
• Some identities involving Gegenbauer polynomials
• Bernstein polynomials on Simplex
• q-Bernoulli polynomials and q-umbral calculus
• A new family of q-analogue of Genocchi numbers and polynomials of higher order
• Hermite polynomials related to Genocchi, Euler and Bernstein polynomials
• Apostol-Euler polynomials arising from umbral calculus
• Some identities of higher-order Euler polynomials arising from Euler basis
• Some identities of Carlitz degenerate Bernoulli numbers and polynomials
• Some applications of degenerate poly-Bernoulli numbers and polynomials
• Nonlinear differential equations arising from Boole numbers and their applications
• Identities involving the $\left(h,q\right)$-Genocchi polynomials and $\left(h,q\right)$-Zeta-type function