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Operator inequalities associated with the Kantorovich type inequalities for s-convex functions

Indian journal of pure and applied mathematics, 2021
In this paper, we prove some operator inequalities associated with an extension of the Kantorovich type inequality for s -convex functions. We also give an application to the order preserving power inequality of three variables and find a better lower ...
I. Nikoufar, D. Saeedi
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$$\alpha $$-Bernstein–Kantorovich operators

Afrika Matematika, 2019
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Naokant Deo, Ram Pratap
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q-Bernstein-Schurer-Kantorovich type operators

Bollettino dell'Unione Matematica Italiana, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Agrawal, P. N.   +2 more
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Bivariate q-Bernstein-Schurer-Kantorovich Operators

Results in Mathematics, 2014
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Agrawal, P. N.   +2 more
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Kantorovich Operators of Order k

Numerical Functional Analysis and Optimization, 2011
This article is concerned with the k-th order Kantorovich modification of the classical Bernstein operators B n , namely, , where D k f is the derivative of order k and I k f is an antiderivative of order k of the function f. These operators are most useful in simultaneous approximation.
Gonska, Heiner   +2 more
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On Kantorovich-Stieltjes operators

Approximation Theory and its Applications, 1993
Summary: Let \(\nu\) be a finite Borel measure on \([0,1]\). The Kantorovich-Stieltjes polynomials are defined by \[ K_ n\nu= (n+1) \sum_{k=0}^ n \biggl( \int_{I_{k,n}}d\nu \biggr) N_{k,n} \qquad (n\in\mathbb{N}), \] where \(N_{k,n}(x)= {n \choose k} x^ k(1-x)^{n-k}\) (\(x\in[0,1]\), \(k=1,2,\dots,n\)) are the basic Bernstein polynomials and \(I_{k,n}:=
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Kantorovich‐Type Sampling Operators and Approximation

Mathematical Methods in the Applied Sciences
ABSTRACTIn this article, we investigate the convergence behavior of generalized sampling operators of Kantorovich‐type. By combining the generalized sampling operators and Kantorovich sampling operators, we obtain the new composition operators and estimate the order of approximation. Then, we establish quantitative estimates for convergence in terms of
Vijay Gupta, Vaibhav Sharma
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Lp-convergence of Kantorovich-type Max-Min Neural Network Operators

arXiv.org
In this work, we study the Kantorovich variant of max-min neural network operators, in which the operator kernel is defined in terms of sigmoidal functions.
Ismail Aslan, Stefano De Marchi, W. Erb
semanticscholar   +1 more source

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