Results 71 to 80 of about 336 (167)

An extension of the operator Kantorovich inequality

Tbilisi Mathematical Journal, 2020
Let \(A\) be a positive invertible operator on a Hilbert space \(H\) such that \(mI\le A\le MI\) where \(I\) is the identity operator on \(H\) and \(m,M\) are positive real numbers. The celebrated Kantorovich inequality asserts that \[ \langle Ax,x\rangle \langle A^{-1}x,x\rangle \le \frac{(m+M)^2}{4mM} \] for all unit vectors \(x\in H\).
Khatib, Yaser, Hassani, Mahmoud, Amyari, Maryam   +2 more
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Interpolation for neural-network operators activated with a generalized logistic-type function

Journal of Inequalities and Applications
This paper defines a family of neural-network interpolation operators. The first derivative of generalized logistic-type functions is considered as a density function.
Hande Uyan, Abdullah Ozan Aslan, Seda Karateke, İbrahim Büyükyazıcı   +3 more
doaj   +1 more source

Convergence by Class of Kantorovich-Type q-Szász Operators and Comprehensive Results

Mathematics
In this paper, we primarily use Stancu variants of Kantorovich-type operators to investigate the convergence and other associated properties of new Szász–Mirakjan operators.
Md. Nasiruzzaman, Mohammad Farid, Nadeem Rao   +2 more
doaj   +1 more source

Asymptotic Dynamics of Generalized Kantorovich Operators

Results in Mathematics
Abstract We characterize the family of continuous functions $$f\in C([0,1])$$ f ∈ C ( [ 0 , 1 ]
Krzysztof Bartoszek, Wojciech Bartoszek
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Operator versions of the Kantorovich inequality [PDF]

Proceedings of the American Mathematical Society, 1996
The Operator Kantorovich Inequality \[ ( R 2
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Approximation by Kantorovich type operators

Acta et Commentationes Universitatis Tartuensis de Mathematica, 2003
We study approxiamtion properties of the Kantorovich type operators associated with the Szasz-Mirakyan and Baskakov operators. We prove that the approximation order of smoothness functions by considered operators is better than for the classical Szasz-Mirakyan and Baskakov operators given in [2]. Our paper is motivated by results obtained in [2], [6], [
Rempulska, Lucyna, Skorupka, Mariola
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Some properties of the Bézier–Kantorovich type operators

Journal of Approximation Theory, 2003
The author considers Kantorovich-Bézier type modifications of the discrete Feller operators in some classes of bounded measurable functions on an interval \(I\) (in particular, functions of bounded \(p\)th power variation on \(I\)). For such operators, estimates of the rate of pointwise convergence are given. The results generalize and extend those of \
openaire   +1 more source

About a general property for a class of linear positive operators and applications

Journal of Numerical Analysis and Approximation Theory, 2005
In this paper we demonstrate a general property for a class of linear positive operators. By particularization, we obtain the convergence and the evaluation for the rate of convergence in term of the first modulus of smoothness for the Bernstein ...
Ovidiu T. Pop
doaj   +2 more sources

On Kantorovich variant of Brass-Stancu operators

Demonstratio Mathematica
In this study, we deal with Kantorovich-type generalization of the Brass-Stancu operators. For the sequence of these operators, we study Lp{L}^{p}-convergence and give some upper estimates for the Lp{L}^{p}-norm of the approximation error via first-order
Bodur Murat, Bostancı Tuğba, Başcanbaz-Tunca Gülen   +2 more
doaj   +1 more source

Homogenisation of dynamical optimal transport on periodic graphs. [PDF]

Calc Var Partial Differ Equ, 2023
Gladbach P, Kopfer E, Maas J, Portinale L.   +3 more
europepmc   +1 more source