Approximation by α-Baskakov−Jain type operators
Filomat, Tome 36 (2022) no. 5, p. 1733

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In this manuscript, we consider the Baskakov-Jain type operators involving two parameters α and τ. Some approximation results concerning the weighted approximation are discussed. Also, we find a quantitative Voronovskaja type asymptotic theorem and Grüss Voronovskaya type approximation theorem for these operators. Some numerical examples to illustrate the approximation of these operators to certain functions are also given.
DOI : 10.2298/FIL2205733K
Classification : 26A15, 41A25, 41A35
Keywords: Order of approximation, integral operators
Arun Kajla; S A Mohiuddine; Abdullah Alotaibi. Approximation by α-Baskakov−Jain type operators. Filomat, Tome 36 (2022) no. 5, p. 1733 . doi: 10.2298/FIL2205733K
@article{10_2298_FIL2205733K,
     author = {Arun Kajla and S A Mohiuddine and Abdullah Alotaibi},
     title = {Approximation by {\ensuremath{\alpha}-Baskakov\ensuremath{-}Jain} type operators},
     journal = {Filomat},
     pages = {1733 },
     year = {2022},
     volume = {36},
     number = {5},
     doi = {10.2298/FIL2205733K},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2205733K/}
}
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