Results 1 to 10 of about 317 (148)
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 (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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Preservation properties of the Baskakov–Kantorovich operators
Computers and Mathematics With Applications, 2009 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Chungou Zhang, Zhihui Zhu
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ψ‐Bernstein–Kantorovich operators
Mathematical Methods in the Applied SciencesIn this article, we introduce a modified class of Bernstein–Kantorovich operators depending on an integrable function and investigate their approximation properties. By choosing an appropriate function , the order of approximation of our operators to a function is at least as good as the classical Bernstein–Kantorovich operators on the interval .
Huseyin Aktuglu
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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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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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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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