Generalized Bernstein‐Kantorovich–type operators on a triangle
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DOI: 10.1002/mma.5656
Abstract: In this note, we construct generalized Bernstein‐Kantorovich–type operators on a triangle. The concern of this note is to present a Voronovskaja‐type and Grüss Voronovskaja‐type asymptotic theorems, and some estimates of the rate of approximation with… read more here.
Keywords: kantorovich type; bernstein kantorovich; generalized bernstein; type operators ... See more keywords
New Kantorovich type inequalities for negative parameters
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DOI: 10.1007/s10476-020-0055-5
Abstract: We show the following result: Let A,B ∈ B (H) be two strictly positive operators such that A ≤ B and m1H ≤ B ≤ M1H for some scalars 0 < m < M .… read more here.
Keywords: new kantorovich; kantorovich type; inequalities negative; type inequalities ... See more keywords
Some approximation properties of new Kantorovich type q-analogue of Balázs–Szabados operators
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Inequalities and Applications"
DOI: 10.1186/s13660-020-02422-9
Abstract: In this paper, we define a new Kantorovich type q-analogue of the Balazs–Szabados operators, we give some local approximation properties of these operators and prove a Voronovskaja type theorem. read more here.
Keywords: new kantorovich; szabados operators; kantorovich type; type ... See more keywords
A Kantorovich type integral modification of q-Bernstein-Schurer operators
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DOI: 10.2298/fil1804335g
Abstract: The q− Bernstein-Schurer summation type operators are modified in order to make them applicable for approximation of integrable functions. The aim of the paper is twofold. Firstly, to find refined error estimates, |S n,p,q (… read more here.
Keywords: bernstein; type integral; kantorovich type; integral modification ... See more keywords
Approximation by the Extended Neural Network Operators of Kantorovich Type
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DOI: 10.3390/math11081903
Abstract: Based on the idea of integral averaging and function extension, an extended Kantorovich-type neural network operator is constructed, and its error estimate of approximating continuous functions is obtained by using the modulus of continuity. Furthermore,… read more here.
Keywords: neural network; network; extended kantorovich; approximation ... See more keywords
Kantorovich Type Generalization of Bernstein Type Rational Functions Based on (p, q)-Integers
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DOI: 10.3390/sym14051054
Abstract: In this paper, we define a new Kantorovich-type (p,q)-generalization of the Balázs–Szabados operators. We derive a recurrence formula, and with the help of this formula, we give explicit formulas for the first and second-order moments,… read more here.
Keywords: type generalization; generalization bernstein; kantorovich type; type rational ... See more keywords