Operators Obtained by Using Certain Generating Function for Approximation

On certain fractional calculus operators involving generalized Mittag-Leffler function

The object of this paper is to establish certain generalized fractional integration and differentiation involving generalized Mittag-Leffler function defined by Salim and Faraj [25]. The considered generalized fractional calculus operators contain the Appell's function $F_3$ [2, p.224] as kernel and are introduced by Saigo and Maeda [23]. The Marichev-Saigo-Maeda fractional calculus operators a...

Approximation by Generalized Srivastava–gupta Operators Based on Certain Parameter

In the year 2003, Srivastava and Gupta [18] introduced a general family of summation-integral type operators which include some well-known operators as special cases. They estimated the rate of convergence for functions of bounded variation. After that several researchers studied different approximation properties of these important general form of operators, we mention some of them as [10,19, ...

On Simultaneous Approximation for Certain Baskakov Durrmeyer Type Operators

In the present paper, we study a certain integral modification of the well known Baskakov operators with the weight function of Beta basis function. We establish pointwise convergence, an asymptotic formula an error estimation and an inverse result in simultaneous approximation for these new operators.

Univalence of Certain Linear Operators Defined by Hypergeometric Function

Approximation by $(p,q)$-Lupac{s} Stancu Operators

In this paper, $(p,q)$-Lupas Bernstein Stancu operators are constructed. Statistical as well as other approximation properties of $(p,q)$-Lupac{s} Stancu operators are studied. Rate of statistical convergence by means of modulus of continuity and Lipschitz type maximal functions has been investigated.