Approximation of functions by Stancu variant of Bernstein–Kantorovich operators based on shape parameter α
SA Mohiuddine, F Özger - Revista de la Real Academia de Ciencias …, 2020 - Springer
We construct the Stancu variant of Bernstein–Kantorovich operators based on shape
parameter α α. We investigate the rate of convergence of these operators by means of …
parameter α α. We investigate the rate of convergence of these operators by means of …
Approximation of functions by a new class of generalized Bernstein–Schurer operators
In this work, we construct a new kind of Bernstein–Schurer operators which includes non-
negative real parameter α α. We study some shape preserving properties, namely …
negative real parameter α α. We study some shape preserving properties, namely …
Approximation by the parametric generalization of Baskakov–Kantorovich operators linking with Stancu operators
Abstract We construct the Baskakov–Kantorovich operators based on shape parameter α α
by linking with Stancu operators to approximate functions over unbounded intervals. We …
by linking with Stancu operators to approximate functions over unbounded intervals. We …
Statistical Convergence via q-Calculus and a Korovkin's Type Approximation Theorem
M Ayman Mursaleen, S Serra-Capizzano - Axioms, 2022 - mdpi.com
In this paper, we define and study q-statistical limit point, q-statistical cluster point, q-
statistically Cauchy, q-strongly Cesàro and statistically C 1 q-summable sequences. We …
statistically Cauchy, q-strongly Cesàro and statistically C 1 q-summable sequences. We …
Approximation process based on parametric generalization of Schurer–Kantorovich operators and their bivariate form
M Nasiruzzaman, HM Srivastava… - Proceedings of the …, 2023 - Springer
Abstract We construct the Schurer–Kantorovich operators depending on the shape
parameter α∈[0, 1] which we called α-Schurer–Kantorovich operators, and estimate their …
parameter α∈[0, 1] which we called α-Schurer–Kantorovich operators, and estimate their …
Approximation by bivariate generalized Bernstein–Schurer operators and associated GBS operators
SA Mohiuddine - Advances in Difference Equations, 2020 - Springer
We construct the bivariate form of Bernstein–Schurer operators based on parameter α. We
establish the Voronovskaja-type theorem and give an estimate of the order of approximation …
establish the Voronovskaja-type theorem and give an estimate of the order of approximation …
Approximation of functions by a class of Durrmeyer–Stancu type operators which includes Euler's beta function
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 …
parameter α in 0, 1 0,1 as well as ρ> 0 ρ>0 and study some useful basic properties of the …
Blending type approximation by τ-Baskakov-Durrmeyer type hybrid operators
In this work, we construct a Durrmeyer type modification of the τ-Baskakov operators
depends on two parameters α> 0 α>0 and τ∈ 0, 1 τ∈0,1. We derive the rate of …
depends on two parameters α> 0 α>0 and τ∈ 0, 1 τ∈0,1. We derive the rate of …
[PDF][PDF] Relatively equi-statistical convergence via deferred Nörlund mean based on difference operator of fractional-order and related approximation theorems
In the proposed paper, we have introduced the notion of point-wise relatively statistical
convergence, relatively equi-statistical convergence and relatively uniform statistical …
convergence, relatively equi-statistical convergence and relatively uniform statistical …
On lacunary convergence in credibility space
In this paper, we present the notions of lacunary statistically convergent sequence for fuzzy
variables, lacunary statistically Cauchy sequence in credibility space, and present a kind of …
variables, lacunary statistically Cauchy sequence in credibility space, and present a kind of …