Results 11 to 20 of about 28,634 (306)
Journal of Numerical Analysis and Approximation Theory, 2012 In this paper we demonstrate a Voronovskaja-type theorem and approximation theorem for a class of modified operators and Generalized Boolean Sum (GBS) associated operators obtained (see (3)) from given operators.
Ovidiu T. Pop
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Invertible Darboux Transformations [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2013 For operators of many different kinds it has been proved that (generalized) Darboux transformations can be built using so called Wronskian formulae.
Ekaterina Shemyakova
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Some generalized bivariate Bernstein operators [PDF]
Miskolc Mathematical Notes, 2000 If \(q>0\) and \(i\in\{0,1,\dots\}\) then \([i]=(1-q^i)(1-q)^{-1}\) for \(q\neq 1\) and \([i]=i\) for \(q=1\), \([i]!=[i][i-1]\dots[1]\) for \(i\in \mathbb{N}\) and \([i]!=1\) for \(i=0\), \(\left[\begin{matrix} k \\ r\end{matrix}\right]=\left([k]!\right)\left([r]![k-r]!\right)^{-1}\).
Dan Bărbosu
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Approximation by bivariate generalized Bernstein–Schurer operators and associated GBS operators [PDF]
Advances in Difference Equations, 2020 We construct the bivariate form of Bernstein–Schurer operators based on parameter α. We establish the Voronovskaja-type theorem and give an estimate of the order of approximation with the help of Peetre’s K-functional of our newly defined operators ...
S. A. Mohiuddine
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On the Approximation by Bivariate Szász–Jakimovski–Leviatan-Type Operators of Unbounded Sequences of Positive Numbers [PDF]
Mathematics, 2023 In this paper, we construct the bivariate Szász–Jakimovski–Leviatan-type operators in Dunkl form using the unbounded sequences αn, βm and ξm of positive numbers.
Abdullah Alotaibi
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(p,q)-Bivariate-Bernstein-Chlodowsky operators
Filomat, 2018 In this article, we construct Bivariate-Bernstein-Chlodowsky operators based on (p,q)-integers. We give the basic estimates for these operators. Moreover, we discuss rate of convergence and pointwise approximation in Lipschitz class. In the last, we prove weighted approximation results.
Nadeem Rao, Abdul Wafi
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On bivariate Meyer-König and Zeller operators [PDF]
Miskolc Mathematical Notes, 2013 This work relates to bivariate Meyer-Konig and Zeller operators, M-n,M- n is an element of N which are not a tensor product setting. We show the monotonicity of the sequence of operators for n under convexity, moreover we study the property of monotonicity in the sense of Li [9].
Ali Olgun
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Higher-order differential operators having bivariate orthogonal polynomials as eigenfunctions
Results in Applied MathematicsWe introduce a systematic method for constructing higher-order partial differential equations for which bivariate orthogonal polynomials are eigenfunctions.
Misael E. Marriaga
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Some bivariate Durrmeyer operators based on q-integers [PDF]
Journal of Mathematical Inequalities, 2017 Summary: In the present paper we introduce a \(q\)-analogue of the bivariate Durrmeyer operators. A convergence theorem for these operators is established and the rate of convergence in terms of modulus of continuity is determined. Also, a Voronovskaja type theorem has been investigated for these operators.
Dan Bărbosu +2 more
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Bivariate Bernstein–Schurer–Stancu type GBS operators in ( p , q ) $(p,q)$ -analogue [PDF]
Advances in Difference Equations, 2020 The purpose of this paper is to construct a ( p , q ) $(p,q)$ -analogue of Bernstein–Schurer–Stancu type GBS (generalized Boolean sum) operators for approximating B-continuous and B-differentiable functions.
M. Mursaleen, Mohd. Ahasan, K. J. Ansari
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