Neha Malik

Approximation by (p, q)-Baskakov–Beta operators

In the present paper we introduce the q analogue of the Baskakov Beta operators. We establish some direct results in the polynomial weighted space of continuous functions defined on the interval [0, ∞). Then we obtain point-wise estimate, using the Lipschitz type maximal function.

Approximation for genuine summation-integral type link operators

In the present article, we extend the studies on recently introduced sequence of the genuine summation-integral type operators 7]. Here, we establish a link between the genuine operators and the discrete operators. We also establish a quantitative asymptotic formula, a direct estimate in terms of Ditzian-Totik modulus of smoothness and finally, we present the rate of convergence for functions having derivatives of bounded variation.

Some approximation properties for generalized Srivastava- Gupta operators

The present paper deals with a sequence of modified genuine summation-integral type operators, which is a generalization to the work done by Yadav (2014) 18. In ordinary approximation, we estimate a global result, asymptotic formula of Voronovskaja kind, error estimation in terms of modulus of continuity and also study weighted approximation for the case c ? N ? { 0 } , which are compared graphically using MATLAB. Further, we discuss the rate of convergence for c = - 1 .

Genuine link Baskakov–Durrmeyer operators

Abstract In the present paper, we propose a sequence of generalized genuine Baskakov–Durrmeyer-type link operators. In terms of ordinary approximation, we estimate local and global direct results and also study the weighted approximation result. In terms of simultaneous approximation, we establish an asymptotic formula of Voronovskaja kind. In the last section, we prove convergence in L p {L_{p}} -norm.

Moment-Generating Functions and Moments of Linear Positive Operators

In the theory of approximation, moments play an important role in order to study the convergence of sequence of linear positive operators. Several new operators have been discussed in the past decade and their moments have been obtained by direct computation or by attaining the recurrence relation to get the higher moments. Using the concept of moment generating function, we provide an alternate approach to estimate the higher order moments. The present article deals with the m.g.f. of some of the important operators. We estimate the moments up to order six for some of the discrete operators and their Kantorovich variants.