Results 21 to 30 of about 223 (167)

Some general Kantorovich type operators

Journal of Numerical Analysis and Approximation Theory, 2012
A general class of linear and positive operators of Kantorovich-type is constructed. The operators of this type which preserve exactly two test functions from the set \(\{e_0, e_1, e_2\}\) are determined and their approximation properties and convergence theorems are studied.
Petru I. Braica, Ovidiu T. Pop
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Operators Obtained by Using Certain Generating Function for Approximation

Mathematics, 2022
This paper is concerned with the sequence of positive linear operators obtained by certain generating functions of polynomials and with investigation of its approximation properties in detail.
Serhan Varma, Sezgin Sucu
doaj   +1 more source

Operator iteration on the Young inequality

Journal of Inequalities and Applications, 2016
In this paper, we employ iteration on operator version of the famous Young inequality and obtain more arithmetic-geometric mean inequalities and the reverse versions for positive operators.
Xianhe Zhao, Le Li, Hongliang Zuo
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A Kantorovich Type of Szasz Operators Including Brenke‐Type Polynomials [PDF]

Abstract and Applied Analysis, 2012
We give a Kantorovich variant of a generalization of Szasz operators defined by means of the Brenke‐type polynomials and obtain convergence properties of these operators by using Korovkin′s theorem. We also present the order of convergence with the help of a classical approach, the second modulus of continuity, and Peetre′s K‐functional.
Taşdelen, Fatma, Aktaş, Rabia, Altın, Abdullah   +2 more
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Boundedness of a Kantorovich type of the Szász-Mirakjan Operator [PDF]

ITM Web of Conferences
Let Bn f represent the n-th Bernstein polynomial for f for each n ϵ ℕ and f ϵ C ([0, 1]) . Then for any f ϵ C ([0, 1]), the sequence {Bn f} converges uniformly to f.
Neswan Oki, Hakim Denny Ivanal, Ifronika, Setya-Budhi Wono   +3 more
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General multivariate arctangent function activated neural network approximations

Journal of Numerical Analysis and Approximation Theory, 2022
Here we expose multivariate quantitative approximations of Banach space valued continuous multivariate functions on a box or \(\mathbb{R}^{N}\), \(N\in \mathbb{N}\), by the multivariate normalized, quasi-interpolation, Kantorovich type and quadrature ...
George A. Anastassiou
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Bivariate α,q-Bernstein–Kantorovich Operators and GBS Operators of Bivariate α,q-Bernstein–Kantorovich Type [PDF]

Mathematics, 2019
In this paper, we introduce a family of bivariate α , q -Bernstein–Kantorovich operators and a family of G B S (Generalized Boolean Sum) operators of bivariate α , q -Bernstein–Kantorovich type. For the former, we obtain the estimate of moments and central moments, investigate the degree of approximation for these bivariate ...
Qing-Bo Cai, Wen-Tao Cheng, Bayram Çekim   +2 more
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GENERALIZED BERNSTEIN-KANTOROVICH OPERATORS OF BLENDING TYPE [PDF]

Facta Universitatis, Series: Mathematics and Informatics, 2019
In this note, we derive some approximation properties of the generalized Bernstein-Kantorovich type operators based on two nonnegative parameters considered  by A. Kajla [Appl. Math. Comput. 2018]. We establish Voronovskaja type asymptotic theorem for these operators.
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Dunkl generalization of q-Szász-Mirakjan Kantorovich operators which preserve some test functions

Journal of Inequalities and Applications, 2016
In this paper we introduce q-Szász-Mirakjan-Kantorovich operators generated by a Dunkl generalization of the exponential function and we propose two different modifications of the q-Szász-Mirakjan-Kantorovich operators which preserve some test functions.
Mohammad Mursaleen, Shagufta Rahman, Abdullah Alotaibi   +2 more
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Approximation by Max-Product Operators of Kantorovich Type [PDF]

Studia Universitatis Babes-Bolyai Matematica, 2019
We associate to various linear Kantorovich type approximation operators, nonlinear max-product operators for which we obtain quantitative approximation results in the uniform norm, shape preserving properties and localization results.
Lucian Coroianu, Sorin G. Gal
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