Some Identities between the Extended q-Bernstein Polynomials with Weight α and q-Bernoulli Polynomials with Weight (α,β)‎

Abstract EN

Using bosonic p-adic q-integral on ℤp, we give some interesting relationships between q-Bernoulli numbers with weight (α,β) and q-Bernstein polynomials with weight α.

Also, using q-Bernstein polynomials with two variables, we derive some interesting properties associated with q-Bernoulli numbers with weight (α,β).