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Approximation properties of λ-Kantorovich operators [PDF]
Journal of Inequalities and Applications, 2018 In the present paper, we study a new type of Bernstein operators depending on the parameter λ∈[−1,1] $\lambda\in[-1,1]$. The Kantorovich modification of these sequences of linear positive operators will be considered.
Ana-Maria Acu +2 more
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Approximation by modified Kantorovich–Stancu operators [PDF]
Journal of Inequalities and Applications, 2018 In the present paper, we study a new kind of Kantorovich–Stancu type operators. For this modified form, we discuss a uniform convergence estimate. Some Voronovskaja-type theorems are given.
Adonia-Augustina Opriş
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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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Approximation by (p,q) $(p,q)$-Lupaş–Schurer–Kantorovich operators [PDF]
Journal of Inequalities and Applications, 2018 In the current paper, we examine the (p,q) $(p,q)$-analogue of Kantorovich type Lupaş–Schurer operators with the help of (p,q) $(p,q)$-Jackson integral.
Kadir Kanat, Melek Sofyalıoğlu
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Blending type approximation by GBS $GBS$ operators of bivariate tensor product of λ-Bernstein–Kantorovich type [PDF]
Journal of Inequalities and Applications, 2018 In this paper, we introduce a family of GBS $GBS$ operators of bivariate tensor product of λ-Bernstein–Kantorovich type. We estimate the rate of convergence of such operators for B-continuous and B-differentiable functions by using the mixed modulus of ...
Qing-Bo Cai, Guorong Zhou
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Some general Kantorovich type operators
Journal of Numerical Analysis and Approximation Theory, 2012 A general class of linear and positive operators of Kantorovich-type is constructed. The operators of this type which preserve exactly two test functions from the set \(\{e_0, e_1, e_2\}\) are determined and their approximation properties and convergence
Petru I. Braica, Ovidiu T. Pop
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Quantitative approximation by nonlinear Angheluta-Choquet singular integrals
Journal of Numerical Analysis and Approximation Theory, 2020 By using the concept of nonlinear Choquet integral with respect to a capacity and as a generalization of the Poisson-Cauchy-Choquet operators, we introduce the nonlinear Angheluta-Choquet singular integrals with respect to a family of submodular set ...
Sorin Gal, Ionut Iancu
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Chaos Theory and Applications, 2023 In this article, we investigate various Bernstein-Kantorovich variants together with their approximation properties. Nowadays, these variants of Bernstein-Kantorovich operators have been a source of inspiration for researchers as it helps to approximate ...
Sumit Kaur Bhatia +2 more
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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-Gr ss inequality is given.
Acu, Ana Maria, Gonska, Heinz H.
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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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