Results 61 to 70 of about 336,700 (138)
Approximation by q‐Post‐Widder Operators Based on a New Parameter
Abstract and Applied Analysis, Volume 2024, Issue 1, 2024.The purpose of this paper is to introduce q‐Post–Widder operators based on a new parameter and study their approximation properties. The moments and central moments are investigated. And some local approximation properties of these operators by means of modulus of continuity and Peetre’s K‐functional are presented.
Qiu Lin, Rosanna Manzo
wiley +1 more source
Better Approximation Properties by New Modified Baskakov Operators
Journal of Applied Mathematics, Volume 2024, Issue 1, 2024.This paper introduces a new idea to obtain a better order of approximation for the Baskakov operator. We conclude two new operators from orders one and two of the Baskakov type. Also, we prove some directed results concerning the rate of convergence of these operators.
Ahmed F. Jabbar +2 more
wiley +1 more source
The Voronovskaya theorem for some linear positive operators in exponential weight spaces
, 2021 In this note we give the Voronovskaya theorem for some linear positive operators of the Szasz-Mirakjan type defined in the space of functions continuous on [0, +∞) and having the exponential growth at infinity.
Rempulska, L., Skorupka, M.
core
Quantitative Voronovskaya type theorems for a general sequence of linear positive operators
Filomat, 2019 The present paper deal with the obtaining quantitative form of the results presented Butzer & Karsli [1]. That is, we prove quantitative simultaneous results by general sequence of positive linear operators which are valid for unbounded functions with polynomial growth.
Aral, Ali, Tachev, Gancho
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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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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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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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On the Generalized Baskakov Durrmeyer Operators
Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 2019 The main object of this paper is to construct Baskakov Durrmeyer type operators such that their construction depends on a function ρ. Using the weighted modulus of continuity, we show the uniform convergence of the operators. Moreover we obtain pointwise
Gülsüm Ulusoy
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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Quantitative Voronovskaya-Type Results for Polynomially Bounded Functions
, 2016 We prove quantitative Voronovskaya-type results and Gruss-Voronovskaya inequalities for polynomially bounded functions. The results are given in terms of suitable K-functionals and applied to linking Szasz-Mirakyan and Baskakov ...
Heilmann, Margareta +3 more
core +1 more source