Geodesic
Rate of convergence of parametrically generalized bivariate Baskakov-Stancu operators
Filomat, Tome 37 (2023) no. 27, p. 9197

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DOI

In the present work, we consider Stancu variant of a bivariate parametrically generalised Baskakov operator. We discuss the rate of convergence of these operators by means of partial moduli of continuity and modulus of continuity of second order. Also, we prove Vornovskaja type assymptotic theorem. Furthermore, the Generalized Boolean Sum (GBS) operators associated to Stancu variant of a-Baskakov operators are constructed and we study their order of convergence using mixed modulus of smoothness for Bögel continuous and Bögel differentiable functions. Some surface plotting illustrating the approximation for different values of Stancu variables and the error of approximation by the proposed operators are also given using MATLAB programming.
DOI : 10.2298/FIL2327197S
Classification : 41A25 , 41A36 , 47A58
Keywords: Modulus of continuity, Stancu operator, moment estimate, statistical convergence, error estimates, GBS operator 
Smita Sonker; Priyanka . Rate of convergence of parametrically generalized bivariate Baskakov-Stancu operators. Filomat, Tome 37 (2023) no. 27, p. 9197 . doi: 10.2298/FIL2327197S
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     title = {Rate of convergence of parametrically generalized bivariate {Baskakov-Stancu} operators},
     journal = {Filomat},
     pages = {9197 },
     year = {2023},
     volume = {37},
     number = {27},
     doi = {10.2298/FIL2327197S},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2327197S/}
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