Results 11 to 20 of about 1,156,986 (207)
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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Approximation properties of q-Kantorovich-Stancu operator [PDF]
Journal of Inequalities and Applications, 2015 In this paper we study some properties of Kantorovich-type generalizations of the q-Stancu operators. We obtain some approximation properties for these operators, estimating the rate of convergence by using the first and second modulus of continuity ...
S. Kang, A. Acu, A. Rafiq, Y. Kwun
semanticscholar +2 more sources
On wavelets Kantorovich ( p , q ) $(p,q)$ -Baskakov operators and approximation properties
Journal of Inequalities and Applications, 2023 In this paper, we generalize and extend the Baskakov-Kantorovich operators by constructing the ( p , q ) $(p, q)$ -Baskakov Kantorovich operators ( ϒ n , b , p , q h ) ( x ) = [ n ] p , q ∑ b = 0 ∞ q b − 1 υ b , n p , q ( x ) ∫ R h ( y ) Ψ ( [ n ] p , q ...
Alexander E. Moreka +2 more
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On Kantorovich variant of Brass-Stancu operators
Demonstratio MathematicaIn this study, we deal with Kantorovich-type generalization of the Brass-Stancu operators. For the sequence of these operators, we study Lp{L}^{p}-convergence and give some upper estimates for the Lp{L}^{p}-norm of the approximation error via first-order
Bodur Murat +2 more
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On Newton-Kantorovich Method for Solving the Nonlinear Operator Equation
Abstract and Applied Analysis, 2015 We develop the Newton-Kantorovich method to solve the system of 2×2 nonlinear Volterra integral equations where the unknown function is in logarithmic form. A new majorant function is introduced which leads to the increment of the convergence interval.
Hameed Husam Hameed +3 more
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Mathematics, 2022 An alternative approach, known today as the Bernstein polynomials, to the Weierstrass uniform approximation theorem was provided by Bernstein. These basis polynomials have attained increasing momentum, especially in operator theory, integral equations ...
Faruk Özger +2 more
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MathematicsThe goal of this manuscript is to introduce a new Stancu generalization of the modified Szász–Kantorovich operator connecting Riemann–Liouville fractional operators via Charlier polynomials.
Nadeem Rao +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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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.
Acu, Ana-Maria, Hodis, Laura, Rasa, Ioan
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