Results 11 to 20 of about 6,054 (174)
Approximation by multivariate Kantorovich-Kotelnikov operators
Journal of Mathematical Analysis and Applications, 2017 Approximation properties of multivariate Kantorovich-Kotelnikov type operators generated by different band-limited functions are studied. In particular, a wide class of functions with discontinuous Fourier transform is considered.
Kolomoitsev, Yu., Skopina, M.
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Generalized Baskakov Kantorovich operators [PDF]
Filomat, 2017 In this paper, we construct generalized Baskakov Kantorovich operators. We establish some direct results and then study weighted approximation, simultaneous approximation and statistical convergence properties for these operators. Finally, we obtain the rate of convergence for functions having a derivative coinciding almost everywhere with ...
Agrawal, P. N., Goyal, Meenu
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Classical Kantorovich Operators Revisited [PDF]
Ukrainian Mathematical Journal, 2019 The main object of this paper is to improve some of the known estimates for classical Kantorovich operators. A quantitative Voronovskaya-type result in terms of second moduli of continuity which improves some previous results is obtained. In order to explain non-multiplicativity of the Kantorovich operators a Chebyshev-Grüss inequality is given.
Acu, Ana Maria, Gonska, Heinz H.
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Brass-Stancu-Kantorovich Operators on a Hypercube
Dolomites Research Notes on Approximation, 2023 We deal with multivariate Brass-Stancu-Kantorovich operators depending on a non-negative integer parameter and defined on the space of all Lebesgue integrable functions on a unit hypercube. We prove $L^{p}$-approximation and provide estimates for the $L^{p}$-norm of the error of approximation in terms of a multivariate averaged modulus of continuity ...
Başcanbaz-Tunca, Gülen, Gonska, Heiner
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Multivariate weighted kantorovich operators
Mathematical Foundations of Computing, 2020 Herein, the authors introduce a class of multidimensional weighted Kantorovich operators \(K_n\), \(n\geq 1\), whose definition is given on the space of continuous functions \(C(Q_{d})\) (where \(Q_d\) is the \(d\)-dimensional hypercube \([0,1]^{d}\), \(d\geq 1\)), and it involves the well-known Bernstein polynomials.
Ana Maria Acu, Laura Hodis, Ioan Rasa
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Revisiting Kantorovich Operators in Lebesgue Spaces
Journal of the Indonesian Mathematical Society, 2023 According to the Weierstrass Approximation Theorem, any continuous function on the closed and bounded interval can be approximated by polynomials. A constructive proof of this theorem uses the so-called Bernstein polynomials. For the approximation of integrable functions, we may consider Kantorovich operators as certain modifications for Bernstein ...
Obie, Maximillian Ventura +3 more
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q-Bernstein-Schurer-Kantorovich Operators [PDF]
Journal of Inequalities and Applications, 2013 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Özarslan, Mehmet Ali, Vedi, Tuba
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Approximation Theorems for Generalized Complex Kantorovich-Type Operators
Journal of Applied Mathematics, 2012 The order of simultaneous approximation and Voronovskaja-type results with quantitative estimate for complex q-Kantorovich polynomials () attached to analytic functions on compact disks are obtained.
N. I. Mahmudov, M. Kara
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A New Class of Kantorovich-Type Operators
Constructive Mathematical Analysis, 2020 The purpose of the paper called “A new class of Kantorovich-type operators”, as the title says, is to introduce a new class of Kantorovich-type operators with the property that the test functions $e_1$ and $e_2$ are reproduced. Furthermore, in our approach, an asymptotic type convergence theorem, a Voronovskaja type theorem and two error ...
Adrian Indrea +2 more
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Order of approximation for sampling Kantorovich operators [PDF]
Journal of Integral Equations and Applications, 2014 In this paper, we study the problem of the rate of approximation for the family of sampling Kantorovich operators in the uniform norm, for uniformly continuous and bounded functions belonging to Lipschitz classes (Zygmund-type classes), and for functions in Orlicz spaces.
COSTARELLI, Danilo, VINTI, Gianluca
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