Approximation Properties by Modified Baskakov-Durrmeyer Operators Based on Shape Parameter-α

摘要

In this research article, we construct a new sequence of Baskakov-Stancu-Durrmeyer operators including the shape parameter alpha and study the uniform convergence of these operators by means of modulus of continuity to the continuous functions h(u) on u is an element of [0, 1]. We investigate the pointwise and weighted approximation in terms of Ditzian-Totik uniform with the aid of first and second order of modulus of smoothness. Further, we calculate the direct estimate of rate of convergence in terms of Lipschitz function. Next, we study weight approximation result.