In this work, we construct the genuine Durrmeyer–Stancu type operators depending on
parameter α in 0, 1 0,1 as well as ρ> 0 ρ>0 and study some useful basic properties of the …

The key goal of the present research article is to introduce a new sequence of linear positive
operator ie, $\alpha $-Schurer Durrmeyer operator and their approximation behaviour on the …

In this paper, we introduce a modified Bernstein-type operators based on two real
parameters and study its various approximation properties. We derive some direct results eg …

(1.1) where s α, λ n, k (x)= e− nx (1+ λe 2) α gα k (nx; λ) k! and gα k (x; λ) is the generalized
Apostol-Genocchi polynomials of order α, which belong to the class of orthogonal …

In the present paper, we introduce the Bézier variant of modified α-Bernstein operators and
study the degree of approximation using second order modulus of continuity. We also …

In the present article we investigate a Durrmeyer variant of the generalized Bernstein-
operators based on a function τ (x), where τ is infinitely differentiable function on [0, 1], τ (0) …

The present paper deals with the Durrmeyer construction of operators based on a class of
orthogonal polynomials called Apostol-Genocchi polynomials. For the proposed operators …