Results 41 to 50 of about 7,339,945 (133)
Quantitative q-Voronovskaya and q-Gruss-Voronovskaya-type results for q-Szasz operators
, 2016 Acar, Tuncer/0000-0003-0982-9459In the present paper, we mainly study quantitative Voronovskaya-type theorems for q-Szasz operators defined in [19]. We consider weighted spaces of functions and the corresponding weighted modulus of continuity.
Acar, Tuncer
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On ( p , q ) $(p,q)$ -analogue of two parametric Stancu-Beta operators
Journal of Inequalities and Applications, 2016 Our purpose is to introduce a two-parametric ( p , q ) $(p, q)$ -analogue of the Stancu-Beta operators. We study approximating properties of these operators using the Korovkin approximation theorem and also study a direct theorem.
Mohammad Mursaleen +2 more
doaj +1 more source
Constructive Mathematical Analysis, 2020 Let $\sigma_n$ denotes the classical Fej\'er operator for trigonometric expansions. For a fixed even integer $r$, we characterize the rate of convergence of the iterative operators $(I-\sigma_n)^r(f)$ in terms of the modulus of continuity of order $r$ (with specific constants) in all $\mathbb{L}^p$ spaces $1\leq p \leq \infty$.
Jorge Bustamante +1 more
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On the Baskakov-Durrmeyer type operators [PDF]
, 2014 In this paper we will study some approximate properties of Baskakov-Durrmeyer type operators \(M_n^{\alpha,a}\).
Malejki, Renata, Wachnicki, Eugeniusz
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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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VORONOVSKAYA-TYPE THEOREM FOR POSITIVE LINEAR OPERATORS BASED ON LAGRANGE INTERPOLATION
Annals of the Academy of Romanian Scientists Series on Mathematics and Its Application, 2023 Since the classical asymptotic theorems of Voronovskaya-type for positive and linear operators are in fact based on the Taylor’s formula which is a very particular case of Lagrange-Hermite interpolation formula, in the recent paper Gal [3], I have obtained semi-discrete quantitative Voronovskaya-type theorems based on other Lagrange-Hermite ...
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Journal of Mathematics, Volume 2026, Issue 1, 2026.We introduce the notion of asymptotically weighted statistical equivalence of order α in probability for sequences of positive linear operators and study it within a Korovkin‐type approximation framework. The emphasis is not only on the convergence of a single operator sequence to a target function, but on the asymptotic comparison of two approximation
Hong-Wei Wang +4 more
wiley +1 more source
On Sequences of J. P. King‐Type Operators
Journal of Function Spaces, Volume 2019, Issue 1, 2019., 2019 This survey is devoted to a series of investigations developed in the last fifteen years, starting from the introduction of a sequence of positive linear operators which modify the classical Bernstein operators in order to reproduce constant functions and x2 on [0,1]. Nowadays, these operators are known as King operators, in honor of J. P.
Tuncer Acar +4 more
wiley +1 more source
Approximation of Real Functions by a Generalization of Ismail–May Operator
Mathematics, 2022 In this paper, we generalize a sequence of positive linear operators introduced by Ismail and May and we study some of their approximation properties for different classes of continuous functions. First, we estimate the error of approximation in terms of
Adrian Holhoş
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Voronovskaya‐type theorems for Urysohn type nonlinear Bernstein operators
Mathematical Methods in the Applied Sciences, 2018 The concern of this paper is to continue the investigation of convergence properties of nonlinear approximation operators, which are defined by Karsli. In details, the paper centers around Urysohn‐type nonlinear counterpart of the Bernstein operators.
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