Results 21 to 30 of about 1,148 (144)
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 +3 more
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Approximation properties of a new family of Gamma operators and their applications
Advances in Difference Equations, 2021 The present paper introduces a new modification of Gamma operators that protects polynomials in the sense of the Bohman–Korovkin theorem. In order to examine their approximation behaviours, the approximation properties of the newly introduced operators ...
Reyhan Özçelik +3 more
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Operators Obtained by Using Certain Generating Function for Approximation
Mathematics, 2022 This paper is concerned with the sequence of positive linear operators obtained by certain generating functions of polynomials and with investigation of its approximation properties in detail.
Serhan Varma, Sezgin Sucu
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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
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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
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
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
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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
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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
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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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