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View article: On approximation properties of α-Baskakov-Schurer-Stancu operators: graphical investigations
On approximation properties of α-Baskakov-Schurer-Stancu operators: graphical investigations Open
This paper deals with some behavior of Baskakov-Schurer-Stancu type operators in approximating functions, grounded on non-negative parameter α. Firstly, we establish some needed moment estimations. Next, according to the famous Korovkin th…
View article: Riemann-Liouville type fractional a new generalization of Bernstein-Kantorovich operators
Riemann-Liouville type fractional a new generalization of Bernstein-Kantorovich operators Open
Approximation theory is a substantial field of mathematical analysis that emerged in the 19th century and has been developed by mathematicians across the globe ever since. Its importance has increased over time, as it provides solutions to…
View article: On a new kind of λ-Bernstein-Kantorovich operators for univariate and bivariate functions
On a new kind of λ-Bernstein-Kantorovich operators for univariate and bivariate functions Open
This paper presents a novel class of ?-Bernstein operators, wherein the parameter ? ? [-1, 1]. An approximation theorem of the Korovkin type is explored, a local approximation theorem is established and an asymptotic formula of the Voronov…
View article: Enhanced Approximation Techniques: Stancu-type (λ,μ)-Bernstein-Kantorovich Operators
Enhanced Approximation Techniques: Stancu-type (λ,μ)-Bernstein-Kantorovich Operators Open
The principal aim of this study is to investigate a range of approximation characteristics exhibited by Stancu-type (λ, μ)-Bernstein-Kantorovich operators denoted as Fλ,μ r,α,β(ϕ; z). In the initial stage, we conduct a comprehensive examin…
View article: On a new type of Szász-Chlodowsky operators in terms of 2D Appell Polynomials
On a new type of Szász-Chlodowsky operators in terms of 2D Appell Polynomials Open
The main goal of this research is to obtain several approximation properties of Kantorovich variant Sz?sz-Chlodowsky operators based on 2D Appell Polynomials. We provide a connection between weighted B-statistical convergence (WBSC) and th…
View article: Rate of approximation of blending type modified univariate and bivariate λ-Schurer-Kantorovich operators
Rate of approximation of blending type modified univariate and bivariate λ-Schurer-Kantorovich operators Open
In this work, we investigate some approximation properties of blending type univariate and bivariate Schurer-Kantorovich operators based on shape parameter λ ∈ [−1, 1]. We evaluate some moment estimates and obtain several direct theorems. …
View article: On the Durrmeyer variant of q-Bernstein operators based on the shape parameter λ
On the Durrmeyer variant of q-Bernstein operators based on the shape parameter λ Open
In this work, we consider several approximation properties of a Durrmeyer variant of q -Bernstein operators based on Bézier basis with the shape parameter $\lambda \in[ -1,1]$ . First, we calculate some moment estimates and show the unifo…
View article: Some approximation results on Chlodowsky type q−Bernstein-Schurer operators
Some approximation results on Chlodowsky type q−Bernstein-Schurer operators Open
The main concern of this article is to obtain several approximation features of the new Chlodowsky type q-Bernstein-Schurer operators. We prove the Korovkin type approximation theorem and discuss the order of convergence with regard to the…
View article: Approximation by Szasz-Mirakjan-Durrmeyer operators based on shape parameter $\lambda$
Approximation by Szasz-Mirakjan-Durrmeyer operators based on shape parameter $\lambda$ Open
In this paper, we study several approximation properties of Szasz-Mirakjan-Durrmeyer operators with shape parameter λ∈[−1,1]λ∈[−1,1]. Firstly, we obtain some preliminaries results such as moments and central moments. Next, we estimate the …
View article: Approximation by bivariate Chlodowsky type Szász–Durrmeyer operators and associated GBS operators on weighted spaces
Approximation by bivariate Chlodowsky type Szász–Durrmeyer operators and associated GBS operators on weighted spaces Open
In this article, we consider a bivariate Chlodowsky type Szász–Durrmeyer operators on weighted spaces. We obtain the rate of approximation in connection with the partial and complete modulus of continuity and also for the elements of the L…
View article: Some approximation results on a class of new type λ-Bernstein polynomials
Some approximation results on a class of new type λ-Bernstein polynomials Open
The main concern of this article is to acquire some approximation properties of a new class of Bernstein polynomials based on Bézier basis functions with shape parameter λ ∈ [-1,1] .We prove Korovkin type approximation theorem and estimate…
View article: Note on a New Construction of Kantorovich Form q-Bernstein Operators Related to Shape Parameter λ
Note on a New Construction of Kantorovich Form q-Bernstein Operators Related to Shape Parameter λ Open
The main purpose of this paper is to introduce some approximation properties of a Kantorovich kind q-Bernstein operators related to Bézier basis functions with shape parameter . Firstly, we compute some basic results such as moments and ce…
View article: On a New Construction of Generalized q-Bernstein Polynomials Based on Shape Parameter λ
On a New Construction of Generalized q-Bernstein Polynomials Based on Shape Parameter λ Open
This paper deals with several approximation properties for a new class of q-Bernstein polynomials based on new Bernstein basis functions with shape parameter λ on the symmetric interval [−1,1]. Firstly, we computed some moments and central…
View article: Some Approximation Results on $\lambda-$ Szasz-Mirakjan-Kantorovich Operators
Some Approximation Results on $\lambda-$ Szasz-Mirakjan-Kantorovich Operators Open
In this article, we purpose to obtain several approximation properties of Sz\'{a}sz-Mirakjan-Kantorovich operators with shape parameter $\lambda \in\lbrack-1,1]$. We compute some preliminaries results such as moments and central moments fo…
View article: Approximation by One and Two Variables of the Bernstein-Schurer-Type Operators and Associated GBS Operators on Symmetrical Mobile Interval
Approximation by One and Two Variables of the Bernstein-Schurer-Type Operators and Associated GBS Operators on Symmetrical Mobile Interval Open
In this article, we purpose to study some approximation properties of the one and two variables of the Bernstein-Schurer-type operators and associated GBS (Generalized Boolean Sum) operators on a symmetrical mobile interval. Firstly, we de…
View article: Some approximation results for a generalization of Szasz-Mirakjan operators based on quantum calculus
Some approximation results for a generalization of Szasz-Mirakjan operators based on quantum calculus Open
The main purpose of this article is to discuss some approximation properties for a generalization of Szász-Mirakjan operators based on quantum calculus.We obtain a recurrence formula for the moments and compute the central moments for the …
View article: Approximation by a new generalization of Szász-Mirakjan operators via (p,q )-calculus
Approximation by a new generalization of Szász-Mirakjan operators via (p,q )-calculus Open
In this work, we obtain the approximation properties of a new generalization of Szász-Mirakjan operators based on postquantum calculus.Firstly, for these operators, a recurrence formulation for the moments is obtained, and up to the fourth…
View article: Approximation by univariate, bivariate and GBS operators of Chlodowsky-Kantorovich operators
Approximation by univariate, bivariate and GBS operators of Chlodowsky-Kantorovich operators Open
We define univariate, bivariate and GBS operators of Chlodowsky-Kantorovich operators and we give their approximations and rate of their approximations for B-continuous and B-differentiable functions.Finally we give some plots to compare o…