A Voronovskaja-Type Theorem for a Kind of Durrmeyer-Bernstein-Stancu Operators
In this paper, we study on a Durrmeyer variant of Bernstein-Stancu operators. We give a Voronovskaja-type theorem for these type operators.
Ulku Dinlemez Kantar, Gizem Ergelen
semanticscholar +2 more sources
The Voronovskaja type theorem for an extension of Szász-Mirakjan operators
Recently, C. Mortici defined a class of linear and positive operators depending on a certain function ϕ, which generalize the well known Szász-Mirakjan operators.
Dan Miclaus, Dan Bărbosu, Ovidiu T Pop
exaly +2 more sources
Some Approximation Properties of the p,q–Stancu–Schurer–Bleimann–Butzer–Hahn Operators
In this article, the p,q–Stancu–Schurer–Bleimann–Butzer–Hahn (p,q-SSBBH) operators are introduced. The Korovkin-type theorem is obtained to show the approximation properties of these operators.
Gülten Torun
doaj +2 more sources
Approximation by q-Post-Widder Operators Based on a New Parameter
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.
Qiu Lin
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A note on the Voronovskaja theorem for Mellin-Fejer convolution operators [PDF]
Here, using Mellin derivatives and a different notion of moment, we state a Voronovskaja approximation formula for a class of Mellin–Fejer type convolution operators.
C. Bardaro, I. Mantellini
semanticscholar +2 more sources
Complete asymptotic expansions related to conjecture on a Voronovskaja-type theorem
Dumitru Mircea Ivan, Ioan Gavrea
exaly +2 more sources
Asymptotic formula in simultaneous approximation for certain Ismail-May-Baskakov operators
In the present paper, we introduce a modification of Ismail-May operators having weights of Baskakov basis functions. We estimate weighted Korovkin's theorem and difference estimates between two operators and establish a Voronovskaja type asymptotic ...
Vijay Gupta, Michael Th. Rassias
doaj +7 more sources
The Bernstein Voronovskaja-type theorem for positive linear approximation operators
Dumitru Mircea Ivan, Ioan Gavrea
exaly +2 more sources
On the rate of convergence of modified \(\alpha\)-Bernstein operators based on q-integers
In the present paper we define a q-analogue of the modified a-Bernstein operators introduced by Kajla and Acar (Ann. Funct. Anal. 10 (4) 2019, 570-582). We study uniform convergence theorem and the Voronovskaja type asymptotic theorem.
Purshottam Agrawal +2 more
doaj +1 more source
On Better Approximation of the Squared Bernstein Polynomials [PDF]
The present paper is defined a new better approximation of the squared Bernstein polynomials. This better approximation has been built on a positive function defined on the interval [0,1] which has some properties.
Rafah Katham, Ali Mohammad
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