Geodesic
Construction of a new modification of Baskakov operators on (0, ∞)
Filomat, Tome 37 (2023) no. 1, p. 139

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DOI

In this manuscript, we construct new modification of Baskakov operators on (0, ∞) using the second central moment of the classical Baskakov operators. And the moments and the central moments computation formulas and their quantitative properties are computed. Then, rate of convergence, point-wise estimates, weighted approximation and Voronovskaya type theorem for the new operators are established. Also, Kantorovich and Durrmeyer type generalizations are discussed. Finally, some graphs and numerical examples are showed by using Matlab algorithms.
DOI : 10.2298/FIL2301139C
Classification : 41A10, 41A25, 41A36
Keywords: New Baskakov operators, Rate of convergence, Modulus of smoothmess, Voronovskaya type theorem, Weighted approximation 
Wen-Tao Cheng; S A Mohiuddine. Construction of a new modification of Baskakov operators on (0, ∞). Filomat, Tome 37 (2023) no. 1, p. 139 . doi: 10.2298/FIL2301139C
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     title = {Construction of a new modification of {Baskakov} operators on (0, \ensuremath{\infty})},
     journal = {Filomat},
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     year = {2023},
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     doi = {10.2298/FIL2301139C},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2301139C/}
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