Results 1 to 10 of about 223 (167)
Approximation by the Extended Neural Network Operators of Kantorovich Type
Mathematics, 2023 Based on the idea of integral averaging and function extension, an extended Kantorovich-type neural network operator is constructed, and its error estimate of approximating continuous functions is obtained by using the modulus of continuity. Furthermore,
Chenghao Xiang +3 more
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A New Kantorovich-Type Rational Operator and Inequalities for Its Approximation
Mathematics, 2022 We introduce a new Kantorovich-type rational operator. We investigate inequalities estimating its rates of convergence in view of the modulus of continuity and the Lipschitz-type functions.
Esma Yıldız Özkan
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New Refinement of the Operator Kantorovich Inequality
Mathematics, 2019 We focus on the improvement of operator Kantorovich type inequalities. Among the consequences, we improve the main result of the paper [H.R. Moradi, I.H. Gümüş, Z.
Hamid Reza Moradi +2 more
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Higher order Kantorovich-type Szász–Mirakjan operators
Journal of Inequalities and Applications, 2022 AbstractIn this paper, we define new higher order Kantorovich-type Szász–Mirakjan operators, we give some approximation properties of these operators in terms of various moduli of continuity. We prove a local approximation theorem, a Korovkin-type theorem, and a Voronovskaja-type theorem.
Pembe Sabancigil +2 more
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Chlodowsky-type q-Bernstein-Stancu-Kantorovich operators [PDF]
Journal of Inequalities and Applications, 2015 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Özarslan, Mehmet Ali, Vedi, Tuba
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Order of Approximation by a New Univariate Kantorovich Type Operator
International Journal of Analysis and Applications, 2023 In order to approximate Lebesgue integrable functions on [0, 1], a sequence of linear positive integral operators of Kantorovich type Lσf (x) with a parameter sσ is introduced.
Asha Ram Gairola +4 more
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Kantorovich type reverse inequalities for operator norm [PDF]
Mathematical Inequalities & Applications, 2005 The authors extend a theorem of Bourin, contained in the electronically available monograph [\textit{J.--C. Bourin}, ``Compressions, Dilations and Matrix Inequalities'' (RGMIA Monographs, Victoria University) (2004; http://rgmia.vu.edu.au/monographs/matrix.html)]) to the framework of operators on a Hilbert space by applying the Mond--Pečarić method for
Fujii, Jun Ichi +2 more
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Generalized Szász-Kantorovich Type Operators
Communications in Mathematics and Applications, 2019 In this note, we present Kantorovich modification of the operators introduced by V. Mihe s an [ Creative Math. Inf. 17 (2008), 466 – 472]. First, we derive some indispensable auxiliary results in the second section. We present a quantitative Voronovskaja type theorem, local approximation theorem by means of second order modulus of continuity and ...
Kajla, Arun +3 more
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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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Approximation Theorems for Generalized Complex Kantorovich‐Type Operators [PDF]
Journal of Applied Mathematics, 2012 The order of simultaneous approximation and Voronovskaja‐type results with quantitative estimate for complex q‐Kantorovich polynomials (q > 0) attached to analytic functions on compact disks are obtained. In particular, it is proved that for functions analytic in {z ∈ ℂ : |z| < R}, R > q, the rate of approximation by the q‐Kantorovich ...
Mahmudov, N. I., Kara, M.
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