Results 11 to 20 of about 223 (167)
Refinements of Kantorovich type, Schwarz and Berezin number inequalities
Extracta Mathematicae, 2020 In this article, we use Kantorovich and Kantorovich type inequalities in order to prove some new Berezin number inequalities. Also, by using a refinement of the classical Schwarz inequality, we prove Berezin number inequalities for powers of f (A), where
M. Garayev +3 more
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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 \
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Convergence properties of generalized Lupaş-Kantorovich operators
Karpatsʹkì Matematičnì Publìkacìï, 2021 In the present paper, we consider the Kantorovich modification of generalized Lupaş operators, whose construction depends on a continuously differentiable, increasing and unbounded function $\rho$.
M. Qasim +3 more
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New versions of refinements and reverses of Young-type inequalities with the Kantorovich constant
Special Matrices, 2023 Recently, some Young-type inequalities have been promoted. The purpose of this article is to give further refinements and reverses to them with Kantorovich constants.
Rashid Mohammad H. M., Bani-Ahmad Feras
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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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Mathematics, 2022 An alternative approach, known today as the Bernstein polynomials, to the Weierstrass uniform approximation theorem was provided by Bernstein. These basis polynomials have attained increasing momentum, especially in operator theory, integral equations ...
Faruk Özger +2 more
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Approximation by Kantorovich Type q-Bernstein-Stancu Operators [PDF]
Complex Analysis and Operator Theory, 2016 In this paper, we introduce a Kantorovich type generalization of q-Bernstein-Stancu operators. We study the convergence of the introduced operators and also obtain the rate of convergence by these operators in terms of the modulus of continuity. Further, we study local approximation property and Voronovskaja type theorem for the said operators. We show
Mursaleen, M. +2 more
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Rate of Convergence of a New Type Kantorovich Variant of Bleimann-Butzer-Hahn Operators
Journal of Inequalities and Applications, 2009 A new type Kantorovich variant of Bleimann-Butzer-Hahn operator Jn is introduced. Furthermore, the approximation properties of the operators Jn are studied.
Lingju Chen, Xiao-Ming Zeng
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Approximations of Antieigenvalue and Antieigenvalue-Type Quantities
International Journal of Mathematics and Mathematical Sciences, 2012 We will extend the definition of antieigenvalue of an operator to antieigenvalue-type quantities, in the first section of this paper, in such a way that the relations between antieigenvalue-type quantities and their corresponding Kantorovich-type ...
Morteza Seddighin
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Approximation by Sequence of Operators Involving Analytic Functions
Mathematics, 2019 In this contribution, we define a new operator sequence which contains analytic functions. Using approximation techniques found by Korovkin, some results are derived.
Sezgin Sucu, Serhan Varma
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