In this paper, we construct a new general class of operators which have the classical Szász
Mirakyan ones as a basis, and fix the functions e^ ax eax and e^ 2ax e 2 ax with a> 0 a> 0 …

In the present paper, we consider the general Szász–Mirakyan operators and investigate
their asymptotic behaviours. We obtain quantitative Voronovskaya and quantitative Grüss …

In the paper we introduce a general class of linear positive approximation processes defined
on bounded and unbounded intervals designed using an appropriate function …

We construct the linear positive operators generated by the q-Dunkl generalization of the
exponential function. We have approximation properties of the operators via a universal …

This survey is devoted to a series of investigations developed in the last fifteen years,
starting from the introduction of a sequence of positive linear operators which modify the …

The main goal of this paper is to introduce Durrmeyer modifications for the generalized
Szász–Mirakyan operators defined in (Aral et al., in Results Math 65: 441–452, 2014). The …

Recent Advances in Constructive Approximation Theory deals with various recent problems
on linear positive operators. We survey upon recent research work in this domain and also …

The present paper deals with genuine Bernstein–Durrmeyer operators which preserve some
certain functions. The rate of convergence of new operators via a Peetre K K-functional and …

In this work, we introduce a new type of Bernstein-Durrmeyer operators based on a function
τ (x) which is continuously differentiable∞− times on [0, 1], such that τ (0)= 0, τ (1)= 1 and …

The new and more comprehensive Jain‐type operators based on a function τ and two
sequences of functions pn and qn have been introduced. This newly defined operator has …