Geodesic
Generalized bivariate Baskakov Durrmeyer operators and associated GBS operators
Filomat, Tome 36 (2022) no. 5, p. 1539

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DOI

In the present research article, we construct a new sequence of Generalized Bivariate Baskakov Durrmeyer Operators. We investigate rate of convergence and the order of approximation with the aid of modulus of continuity in terms of well known Peetre's K-functional, Voronovskaja type theorems and Lipschitz maximal functions. Further, graphical analysis is discussed. Moreover, we study the approximation properties of the operators in Bögel-spaces with the aid of mixed-modulus of continuity.
DOI : 10.2298/FIL2205539R
Classification : 41A25, 41A36, 33C45
Keywords: Baskakov operators, Peetre’s K-functional, Mixed-modulus of continuity, Bögel functions 
Mamta Rani; Nadeem Rao; Pradeep Malik. Generalized bivariate Baskakov Durrmeyer operators and associated GBS operators. Filomat, Tome 36 (2022) no. 5, p. 1539 . doi: 10.2298/FIL2205539R
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     author = {Mamta Rani and Nadeem Rao and Pradeep Malik},
     title = {Generalized bivariate {Baskakov} {Durrmeyer} operators and associated {GBS} operators},
     journal = {Filomat},
     pages = {1539 },
     year = {2022},
     volume = {36},
     number = {5},
     doi = {10.2298/FIL2205539R},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2205539R/}
}
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