Results 31 to 40 of about 659,087 (137)
POINTS OF RETRACTION INTO CONE AND VORONOVSKAYA TYPE THEOREMS
Proceedings of the Karelian Research Centre of the Russian Academy of Sciences, 2015 The general approach to Voronovskaya theorems about the rate of convergence of linear operators sequence to the functions of some classes is considered. These theorems are proved with the help of a functional which in many concrete situations may have a differential structure.
Юрий Георгиевич Абакумов +3 more
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Mathematical Foundations of Computing, 2022 <p style='text-indent:20px;'>The motivation behind the current paper is to elucidate the approximation properties of a Kantorovich variant of Lupaş-Stancu operators based on Pólya distribution. We construct quantitative-Voronovskaya and Grüss-Voronovskaya type theorems and determine the convergence estimates of the above operators.
Parveen Bawa +2 more
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Geometric series of positive linear operators and inverse Voronovskaya theorem [PDF]
, 2013 19 ...
Ulrich Abel +2 more
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Approximation by Genuine q‐Bernstein‐Durrmeyer Polynomials in Compact Disks in the Case q > 1 [PDF]
Abstract and Applied Analysis, Volume 2014, Issue 1, 2014., 2014 This paper deals with approximating properties of the newly defined q‐generalization of the genuine Bernstein‐Durrmeyer polynomials in the case q > 1, which are no longer positive linear operators on C[0,1]. Quantitative estimates of the convergence, the Voronovskaja‐type theorem, and saturation of convergence for complex genuine q‐Bernstein‐Durrmeyer ...
Nazim I. Mahmudov, Sofiya Ostrovska
wiley +5 more sources
A Kantorovich-Stancu Type Generalization of Szasz Operators including Brenke Type Polynomials
Journal of Function Spaces and Applications, 2013 We introduce a Kantorovich-Stancu type modification of a generalization of Szasz operators defined by means of the Brenke type polynomials and obtain approximation properties of these operators.
Rabia Aktaş +2 more
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Rate of Approximation for Modified Lupaş-Jain-Beta Operators
Journal of Function Spaces, 2020 The main intent of this paper is to innovate a new construction of modified Lupaş-Jain operators with weights of some Beta basis functions whose construction depends on σ such that σ0=0 and infx∈0,∞σ′x≥1.
M. Qasim +4 more
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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 A. Bustamante +1 more
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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.
Harun Karslı
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Approximation Properties of a New Class of Beta-Type Szász–Mirakjan Operators
Journal of MathematicsWe use the new variant of Szász–Mirakjan operators to construct a generalized version of Szász-beta type operators and obtain auxiliary lemmas. We present the weighted approximation theorems and, by using Peetre’s K-function, the local approximation ...
Md. Nasiruzzaman +2 more
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On Some Extensions of Szasz Operators Including Boas-Buck-Type Polynomials
Abstract and Applied Analysis, 2012 This paper is concerned with a new sequence of linear positive operators which generalize Szasz operators including Boas-Buck-type polynomials.
Sezgin Sucu +2 more
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