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.