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Abstract The goal of this paper is to propose a modification of Lupaş-Jain operators based on a function ρ having some properties. Primarily, the convergence of given operators in weighted spaces is discussed. Then, order of approximation via weighted modulus of continuity is computed for these operators.
Murat Bodur
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Kantorovich Variant of Jain-Pethe Operators
Numerical Functional Analysis and Optimization, 2021In the present paper we establish a link between the Jain-Pethe operators and its Kantorovich type integral modification, by applying the methods of finite differences.
Vijay Gupta
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Approximation by Integral form of Jain and Pethe Operators
Proceedings of the National Academy of Sciences India Section A - Physical Sciences, 2020In this paper, we consider the integral form of Jain and Pethe operators associated with the Baskakov operators and study some basic properties. We estimate the rate of convergence, Voronovskaja-type asymptotic estimate formula and weighted approximation of these operators.
Naokant Deo, Ram Pratap, Deo Naokant
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Asymptotic behaviour of Jain operators
Numerical Algorithms, 2015Let \(C\) represents the continuous functions on \([0, \infty)\) that have polynomial growth. In [J. Aust. Math. Soc. 13, 271--276 (1972; Zbl 0232.41003)] \textit{G. C. Jain} defined a sequence of positive, constant preserving, operators, \(J_n\), on \(C\). The operators were constructed using a probability distribution.
Octavian Agratini +2 more
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Jain's operator: A new construction and applications in approximation theory
Mathematical Methods in the Applied Sciences, 2023The new and more comprehensive Jain‐type operators based on a function and two sequences of functions and have been introduced. This newly defined operator has an important place in which these three functions can create both existing and new operators with special selections.
Fuat Usta +2 more
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