Results 11 to 20 of about 336 (167)
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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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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Generalization of Szász operators: quantitative estimate and bounded variation
Karpatsʹkì Matematičnì Publìkacìï, 2021 Difference of exponential type Szász and Szász-Kantorovich operators is obtained. Similar estimates are given for higher order $\mu$-derivatives of the Szász operators and the Szász-Kantorovich type operators acting on the same order $\mu$-derivative of ...
K. Bozkurt, M.L. Limmam, A. Aral
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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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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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Mathematics, 2021 The main aim of this paper is to numerically solve the first kind linear Fredholm and Volterra integral equations by using Modified Bernstein–Kantorovich operators.
Suzan Cival Buranay +2 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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Statistical Approximation of q-Bernstein-Schurer-Stancu-Kantorovich Operators
Journal of Applied Mathematics, 2014 We introduce two kinds of Kantorovich-type q-Bernstein-Schurer-Stancu operators. We first estimate moments of q-Bernstein-Schurer-Stancu-Kantorovich operators. We also establish the statistical approximation properties of these operators. Furthermore, we
Qiu Lin
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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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