Bivariate Bernstein-Kantorovich operators with a summability method and related GBS operators
Filomat, Tome 36 (2022) no. 19, p. 6751
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In this paper, we apply four-dimensional infinite matrices to newly constructed original extension of bivariate Bernstein-Kantorovich type operators based on multiple shape parameters. We also use Bögel continuity to construct the GBS (Generalized Boolean Sum) operators for defined bivariate Kantorovich type. Moreover, we demonstrate certain illustrative graphs to show the applicability and validity of proposed operators.
Classification :
41A10, 41A36, 26A16
Keywords: Four-dimensional infinite matrices, Bernstein operators, Rate of convergence, Shape parameter, Voronovskaja asymptotic formula
Keywords: Four-dimensional infinite matrices, Bernstein operators, Rate of convergence, Shape parameter, Voronovskaja asymptotic formula
Khursheed J Ansari; Sedef Karakılıç; Faruk Özger. Bivariate Bernstein-Kantorovich operators with a summability method and related GBS operators. Filomat, Tome 36 (2022) no. 19, p. 6751 . doi: 10.2298/FIL2219751A
@article{10_2298_FIL2219751A,
author = {Khursheed J Ansari and Sedef Karak{\i}l{\i}\c{c} and Faruk \"Ozger},
title = {Bivariate {Bernstein-Kantorovich} operators with a summability method and related {GBS} operators},
journal = {Filomat},
pages = {6751 },
year = {2022},
volume = {36},
number = {19},
doi = {10.2298/FIL2219751A},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2219751A/}
}
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