Results 21 to 30 of about 1,372 (158)

The Approximation of a Modified Baskakov Operator

Journal of Mathematics, Volume 2023, Issue 1, 2023., 2023
Because of their simple form and high quality, linear arithmetical operators, particularly linear positive operators, are very popular. The number of in‐depth studies on linear operator approximation is extensive, and the majority of the published material falls into four categories: types and structures of operators, approximation of operators, order ...
Ma Yingdian, Wang Weimeng, Naeem Jan
wiley   +1 more source

Approximation Properties and q‐Statistical Convergence of Stancu‐Type Generalized Baskakov‐Szász Operators

Journal of Function Spaces, Volume 2022, Issue 1, 2022., 2022
In this article, we introduce Stancu‐type modification of generalized Baskakov‐Szász operators. We obtain recurrence relations to calculate moments for these new operators. We study several approximation properties and q‐statistical approximation for these operators.
Qing-Bo Cai, Adem Kilicman, Mohammad Ayman Mursaleen, Mikail Et   +3 more
wiley   +1 more source

On Shape Parameter α‐Based Approximation Properties and q‐Statistical Convergence of Baskakov‐Gamma Operators

Journal of Mathematics, Volume 2022, Issue 1, 2022., 2022
We construct a novel family of summation‐integral‐type hybrid operators in terms of shape parameter α ∈ [0,1] in this paper. Basic estimates, rate of convergence, and order of approximation are also studied using the Korovkin theorem and the modulus of smoothness.
Ming-Yu Chen, Md Nasiruzzaman, Mohammad Ayman Mursaleen, Nadeem Rao, Adem Kilicman, Ding-Xuan Zhou   +5 more
wiley   +1 more source

Nonlinear Bivariate Bernstein–Chlodowsky Operators of Maximum Product Type

Journal of Mathematics, Volume 2022, Issue 1, 2022., 2022
The positive nonlinear operators with maximum and product were introduced by Bede. In this study, nonlinear maximum product type of bivariate Bernstein–Chlodowsky operators is defined and the approximation properties are investigated with the help of new definitions.
Özge Özalp Güller, Ecem Acar, Sevilay Kırcı Serenbay, Ding-Xuan Zhou   +3 more
wiley   +1 more source

Approximation Properties of a New Gamma Operator

Journal of Mathematics, Volume 2022, Issue 1, 2022., 2022
This paper deals with a kind of modification of the classical Gamma operators defined on the semiaxis which holds fixed functions 1 and e−μx (μ > 0). We study the uniform approximation effect and the direct results. We also investigate the weighted A‐statistical convergence. Finally, the Voronovskaja type asymptotic formula is given.
Jieyu Huang, Qiulan Qi, Francisco J. Garcia Pacheco   +2 more
wiley   +1 more source

Approximation Properties of a New Type of Gamma Operator Defined with the Help of k‐Gamma Function

Journal of Function Spaces, Volume 2022, Issue 1, 2022., 2022
With the help of the k‐Gamma function, a new form of Gamma operator is given in this article. Voronovskaya type theorem, weighted approximation, rates of convergence, and pointwise estimates have been found for approximation features of the newly described operator.
Gurhan Icoz, Seda Demir, Yusuf Gurefe
wiley   +1 more source

Dunkl generalization of q-Szász-Mirakjan Kantorovich operators which preserve some test functions

Journal of Inequalities and Applications, 2016
In this paper we introduce q-Szász-Mirakjan-Kantorovich operators generated by a Dunkl generalization of the exponential function and we propose two different modifications of the q-Szász-Mirakjan-Kantorovich operators which preserve some test functions.
Mohammad Mursaleen, Shagufta Rahman, Abdullah Alotaibi   +2 more
doaj   +1 more source

Approximation of Functions by Dunkl‐Type Generalization of Szász‐Durrmeyer Operators Based on (p, q)‐Integers

Journal of Function Spaces, Volume 2021, Issue 1, 2021., 2021
In this article, our main purpose is to define the (p, q)‐variant of Szász‐Durrmeyer type operators with the help of Dunkl generalization generated by an exponential function. We estimate moments and establish some direct results of the aforementioned operators. Moreover, we establish some approximation results in weighted spaces.
Abdullah Alotaibi, Tuncer Acar
wiley   +1 more source

Fuzzy Korovkin type Theorems via deferred Cesaro and deferred Euler equi-statistical convergence

Journal of Numerical Analysis and Approximation Theory, 2023
We establish a fuzzy Korovkin type approximation theorem by using \(eq-stat^{D}_{CE}\)(deferred Ces\'{a}ro and deferred Euler equi-statistical) convergence proposed by Saini et al. for continuous functions over \([a,b]\).
Purshottam Agrawal, Behar Baxhaku
doaj   +1 more source

Korovkin type approximation theorems in weighted spaces via power series method [PDF]

, 2018
In this paper we consider power series method which is also member of the class of all continuous summability methods. We study a Korovkin type approximation theorem for a sequence of positive linear operators acting from a weighted space Cρ1 into a ...
Atlıhan, Özlem Girgin, Taş, E., Yurdakadim, T.   +2 more
core   +1 more source