Results 21 to 30 of about 474 (129)
Bulletin of the Transilvania University of Brasov. Series III: Mathematics and Computer Science, 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 ...
Sorin G. Gal
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Ideal relatively uniform convergence with Korovkin and Voronovskaya types approximation theorems
Filomat, 2019 We introduce the notion of ideally relative uniform convergence of sequences of real valued functions. We then apply this notion to prove Korovkin-type approximation theorem, and then construct an illustrative example by taking (p,q)-Bernstein operators which proves that our Korovkin theorem is stronger than its classical version as well as
Mohiuddine, S. A. +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 $q>1$, whcih are no longer positive linear operators on $C[0,1]$. Quantitative estimates of the convergence,
Mahmudov, Nazim I.
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Voronovskaya Type Theorems in Weighted Spaces
Numerical Functional Analysis and Optimization, 2016 In this article, we introduce a generalization of Gamma operators based on a function ρ having some properties and prove quantitative Voronovskaya and quantitative Gruss type Voronovskaya theorems ...
Erençin, Ayşegül, Raşa, Ioan
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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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A Voronovskaya Type Theorem for Poisson–Cauchy Type singular operators
Journal of Mathematical Analysis and Applications, 2010 The paper deals with the study of approximation properties of smooth Poisson-Cauchy type singular integral operators over the real line. A Voronovskaya type asymptotic formula is also established.
Anastassiou, George A., Mezei, Razvan A.
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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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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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A Voronovskaya type theorem associated to geometric series of Bernstein – Durrmeyer operators
Carpathian Journal of MathematicsIn this paper we give a Voronovskaya type theorem for the operators introduced by U. Abel, which are defined as the geometric series of Bernstein- Durrmeyer operators.
ŞTEFAN-LUCIAN GAROIU
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The Voronovskaya theorem for some operators of the Szasz-Mirakjan type
Le Matematiche, 1995 We give the Voronovskaya theorem for some operators of the Szasz-Mirakjan type defined in the space of functions continuous on [0,+infinity) and having the polynomial grouth at infinity. Some approximation properties of these operators are given in [2],
Lucina Rempulska, Mariola Skorupka
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