On p-adic analogue of q-Bernstein polynomials and related integrals

Abstract

In this paper, we give p-adic q-integral representation for the Kim's q-Bernstein polynomials and we give some interesting formulae realted to Carlitz's q-Bernoulli numbers.

8 pages

References in corpus (2)

• A New Generating Function of (q-) Bernstein Type Polynomials and their Interpolation Function
• Barnes type multiple q-zeta functions and q-Euler polynomials

Cited by in corpus (2)

• Some identities on Bernstein polynomials associated with q-Euler polynomials
• Identities involving the $\left(h,q\right)$-Genocchi polynomials and $\left(h,q\right)$-Zeta-type function