Results 181 to 190 of about 1,156,986 (207)

Higher order $$\alpha $$-Bernstein–Kantorovich operators

Journal of Applied Mathematics and Computing
Bernstein polynomials \(B_n(\xi,\kappa)=\sum_{i=0}^n\xi(\frac{i}{n})P_{n,i}(\kappa),\ P_{n,i}(\kappa)=\binom{n}{i}\kappa ^i(1-\kappa)^{n-i},\ \kappa \in[0,1]\) play a significant role in approximation theory. To improve the convergence properties of these polynomials, first \(P_{n,i}\) was replaced by depending on some parameter \(\alpha\) polynomials \
Yadav, Jyoti, Braha, Naim L., Kajla, Arun   +2 more
openaire   +1 more source

Operator Learning at Machine Precision

arXiv.org
Neural operator learning methods have garnered significant attention in scientific computing for their ability to approximate infinite-dimensional operators.
Aras Bacho, Aleksei G. Sorokin, Xianjin Yang, Théo Bourdais, E. Calvello, Matthieu Darcy, Alexander W. Hsu, Bamdad Hosseini, H. Owhadi   +8 more
semanticscholar   +1 more source

Higher-Order Bernstein–Kantorovich Operators

Proceedings of the National Academy of Sciences, India Section A: Physical Sciences, 2023
null Anjali, Vijay Gupta
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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.
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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.
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Weighted approximation of functions in Lp-norm by Baskakov-Kantorovich operator

Analysis Mathematica, 2020
P. Parvanov
semanticscholar   +1 more source

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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Weighted Approximation of Functions by the Szász–Mirakjan–Kantorovich Operator

Results in Mathematics, 2019
I. Gadjev, P. Parvanov
semanticscholar   +1 more source

A Direct Theorem for MKZ-Kantorovich Operator

Analysis Mathematica, 2018
I. Gadjev
semanticscholar   +1 more source

On the Convergence of Bernstein-Kantorovich-Stancu Shifted Knots Operators involving Schur Parameter

Complex Analysis and Operator Theory, 2023
Abdullah Alotaibi, Md. Nasiruzzaman, S. A. Mohiuddine   +2 more
semanticscholar   +1 more source