A q-Erkus- Srivastava Polynomials Operator

Abstract

We construct a sequence of linear positive operators by means of the Erkus- Srivastava multivariable polynomials which include q- Lagrange polynomial operators discussed in [5] and the Lagrange Hermite polynomial operators considered in [1]. We study the Korovkin type theorems for the constructed operators by using summability techniques of statistical convergence and the power series method. We also define a k-th order Taylor generalization of the multivariable polynomials operator and investigate the approximation of k-th times continuously differentiable Lipschitz class elements.