The main object of this paper is to construct a new generalization of the Bernstein operator,
depending on a non-negative real parameter. We investigate some elementary properties of …

In this paper, we construct sequences of Szász–Mirakyan operators which are based on a
function ρ. This function not only characterizes the operators but also characterizes the …

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 …

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 …

Starting with a positive linear operator we apply the Kantorovich modification and a related
modification. The resulting operators are investigated. We are interested in 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 …

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 …

Starting with the well‐known Bernstein operators, in the present paper, we give a new
generalization of the bivariate type. The approximation properties of this new class of …