Approximation by a generalized Szász-Bézier operators
Filomat, Tome 36 (2022) no. 2, p. 669
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The application of Bézier type operators is very extensive and has attracted people's attention. In the year 2017, Ren established a generalized Bernstein-Bézier type operators acting on C[0, 1]. Inspired by this, in this paper, a generalized Szász-Bézier type operators, with Gamma function defined on the positive semi-axis, is extended. Then, the equivalent theorem and the Voronovskaja type asymptotic formulas are also obtained
Classification :
41A10, 41A25, 41A36
Keywords: Szász-Bézier type operators, approximation theorem, the Cauchy-Schwarz inequality, Voronovskaja type asymptotic formula
Keywords: Szász-Bézier type operators, approximation theorem, the Cauchy-Schwarz inequality, Voronovskaja type asymptotic formula
Qiulan Qi; Dandan Guo. Approximation by a generalized Szász-Bézier operators. Filomat, Tome 36 (2022) no. 2, p. 669 . doi: 10.2298/FIL2202669Q
@article{10_2298_FIL2202669Q,
author = {Qiulan Qi and Dandan Guo},
title = {Approximation by a generalized {Sz\'asz-B\'ezier} operators},
journal = {Filomat},
pages = {669 },
year = {2022},
volume = {36},
number = {2},
doi = {10.2298/FIL2202669Q},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2202669Q/}
}
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