Results 151 to 160 of about 6,054 (174)

Saturation of Kantorovich type operators

Periodica Mathematica Hungarica, 1985
The author proves that an integrable function f can be approximated by the Kantorovich type modification of the Szász-Mirakjan and Baskakov operators in the \(L^ 1\) metric in the optimal order \(\{n^{-1}\}\) if and only if \(\phi^ 2f'\) is of bounded variation where \(\phi (x)=x^{1/2}\) and \(\phi (x)=[x(1+x)]^{1/2},\) respectively.
openaire   +2 more sources

Higher-Order Bernstein–Kantorovich Operators

Proceedings of the National Academy of Sciences, India Section A: Physical Sciences, 2023
null Anjali, Vijay Gupta
openaire   +1 more source

Bernstein-Kantorovich operators on a simplex

Approximation Theory and its Applications, 1995
Summary: We give the strong direct theorem and inverse theorem of weak type for multidimensional Kantorovich operators on simplexes.
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(?, ?)-Bernstein-Kantorovich operators

In this article, we introduce a new family of ( lambda , psi ) \left(\lambda ,\psi ) -Bernstein-Kantorovich operators which depends on a parameter lambda \lambda , derived from the basis functions of B & eacute;zier curves and an integrable function psi \psi . In this approach, all moments and central moments of the new operators can be obtained in
Aktuglu, Huseyin, Kara, Mustafa, Baytunc, Erdem, Fidan, Saner   +3 more
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Approximation by Lupaṣ–Kantorovich Operators

2018
The present article deals with the approximation properties of certain Lupaṣ-Kantorovich operators preserving e−x. We obtain uniform convergence estimates which also include an asymptotic formula in quantitative sense. In the end, we provide the estimates for another modification of such operators, which preserve the function e−2x.
Vijay Gupta, Themistocles M. Rassias, Deepika Agrawal   +2 more
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Exponential Kantorovich-Stancu operators

Bulletin of the Transilvania University of Brasov. Series III: Mathematics and Computer Science
In this paper we will obtain some Bernstein-Kantorovich operators modified in Stancu sense which preserve exponential function eμx, where μ > 0. Concerning these operators we prove they verify Korovkin’s theorem conditions and also that they approximate functions from a weighted Lp space.
openaire   +1 more source

Approximation Process Based on Parametric Generalization of Schurer–Kantorovich Operators and their Bivariate Form

Proceedings of the National Academy of Sciences India Section A - Physical Sciences, 2022
Nasiruzzaman, H M Srivastava, S A Mohiuddine   +2 more
exaly  

Approximation of functions by Stancu variant of Bernstein–Kantorovich operators based on shape parameter $${\varvec{\alpha }}$$

Revista De La Real Academia De Ciencias Exactas, Fisicas Y Naturales - Serie A: Matematicas, 2020
S A Mohiuddine, Faruk Özger
exaly  

Construction of a new family of Bernstein‐Kantorovich operators

Mathematical Methods in the Applied Sciences, 2017
S A Mohiuddine, Tuncer Acar, Abdullah Alotaibi   +2 more
exaly  

Weighted statistical approximation by kantorovich type q-Szász–Mirakjan operators

Applied Mathematics and Computation, 2011
Mediha Orkcu, Ogun Dogru
exaly