Geodesic
Approximation on bivariate parametric-extension of Baskakov-Durrmeyer-operators
Filomat, Tome 35 (2021) no. 8, p. 2783

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DOI

The main purpose of this article is to study the bivariate approximation generalization for Baskakov-Durrmeyer-operators with the aid of non-negative parametric variants suppose 0 ≤ α 1 , α 2 ≤ 1. We obtain the order of approximation by use of the modulus of continuity in terms of well known Peetre's K-functional, Voronovskaja type theorems and Lipschitz maximal functions. Further, we also discuss here the approximation properties of the operators in Bögel-spaces by use of mixed-modulus of continuity
DOI : 10.2298/FIL2108783N
Classification : 41A36, 441A25, 33C45
Keywords: Baskakov operators, Simultaneous approximation, Peetre’s K-functional, Voronovskaja type theorem, Mixed-modulus of continuity, Bögel functions 
Md Nasiruzzaman; Nadeem Rao; Manish Kumar; Ravi Kumar. Approximation on bivariate parametric-extension of Baskakov-Durrmeyer-operators. Filomat, Tome 35 (2021) no. 8, p. 2783 . doi: 10.2298/FIL2108783N
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     author = {Md Nasiruzzaman and Nadeem Rao and Manish Kumar and Ravi Kumar},
     title = {Approximation on bivariate parametric-extension of {Baskakov-Durrmeyer-operators}},
     journal = {Filomat},
     pages = {2783 },
     year = {2021},
     volume = {35},
     number = {8},
     doi = {10.2298/FIL2108783N},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2108783N/}
}
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