Very recently Wang [9] introduced the modified form of Baskakov-beta operators and obtained a Voronov-skaja type asymptotic formula for these operators. We extend the study and here we estimate a direct result in terms of ...

In the present article, we propose the (p, q)-variant of beta function of second kind and establish a relation between the generalized beta and gamma functions using some identities of the post-quantum calculus. As an ...

In the present paper, we introduce certain (p, q) analogue of the Szasz-Beta operators using (p, q)-variant of Beta function of second kind. We present direct theorem in weighted spaces in terms of suitable weighted modulus ...

We define a (p, q) analogue of Gamma function. As an application, we propose (p, q)-Szasz-Durrmeyer operators, estimate moments and establish some direct results.

This paper deals with Durrmeyer type generalization of q-Baskakov type operators using the concept of q-integral, which introduces a new sequence of positive q-integral operators. We show that this sequence is an approximation ...

In this paper, we give a generalization of the Baskakov-Kantorovich type operators that reproduce functionse(0)ande(-x). We discuss uniform convergence of this generalization by means of the modulus of continuity and ...

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, a). Then we obtain ...

The generalization of the Bernstein polynomials based on Polya distribution was first considered by Stancu [14]. Very recently Gupta and Rassias [6] proposed the Durrmeyer type modification of the Lupas, operators and ...

In the present paper we propose a generalization of the Baskakov operators, based on q integers. We also estimate the rate of convergence in the weighted norm. In the last section, we study some shape preserving properties ...

Very recently Aral and Gupta [1] introduced q analogue of Baskakov-Durrmeyer operators. In the present paper we extend the studies, we establish the recurrence relations for the central moments and obtain an asymptotic ...