Results 31 to 40 of about 1,445 (159)
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 +3 more
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 +2 more
doaj +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 +2 more
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
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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
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
Approximation Properties of Generalized λ-Bernstein–Stancu-Type Operators
Journal of Mathematics, 2021 The present study introduces generalized λ-Bernstein–Stancu-type operators with shifted knots. A Korovkin-type approximation theorem is given, and the rate of convergence of these types of operators is obtained for Lipschitz-type functions.
Qing-Bo Cai +2 more
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 +2 more
core +1 more source
A generalization of Kantorovich operators for convex compact subsets [PDF]
, 2016 In this paper we introduce and study a new sequence of positive linear operators acting on function spaces defined on a convex compact subset. Their construction depends on a given Markov operator, a positive real number and a sequence of probability ...
Altomare, Francesco +3 more
core +2 more sources
Convergence of λ-Bernstein operators based on (p, q)-integers
Journal of Inequalities and Applications, 2020 In the present paper, we construct a new class of positive linear λ-Bernstein operators based on (p, q)-integers. We obtain a Korovkin type approximation theorem, study the rate of convergence of these operators by using the conception of K-functional ...
Qing-Bo Cai, Wen-Tao Cheng
doaj +1 more source