Some Identities between the Extendedq-Bernstein Polynomials with Weightαandq-Bernoulli Polynomials with Weight (α,β)

摘要

Using bosonicp-adicq-integral onℤp, we give some interesting relationships betweenq-Bernoulli numbers with weight (α,β) andq-Bernstein polynomials with weightα. Also, usingq-Bernstein polynomials with two variables, we derive some interesting properties associated withq-Bernoulli numbers with weight (α,β).