Search

Motivated by a number of recent investigations, we consider a new analogue of Bernstein-Durrmeyer operators based on certain variants. We derive some approximation properties of these operators. We also compute local approximation and Voronovskaja type asymptotic formula. We illustrate the convergence of aforementioned operators by making use of the software MATLAB which we stated in the paper. [ABSTRACT FROM AUTHOR]

We deal with q-Euler numbers and q-Bernoulli numbers. We derive some interesting relations for q- Euler numbers and polynomials by using their generating function and derivative operator. Also, we derive relations between the q-Euler numbers and q-Bernoulli numbers via the p-adic q-integral in the p-adic integer ring. [ABSTRACT FROM AUTHOR]

We consider weighted q-Genocchi numbers and polynomials. We investigated some interesting properties of the weighted q-Genocchi numbers related to weighted q-Bernstein polynomials by using fermionic p-adic integrals on ℤp. [ABSTRACT FROM AUTHOR]