Approximation by bivariate generalized Bernstein–Schurer operators and associated GBS operators

We construct the bivariate form of Bernstein–Schurer operators based on parameter α . We establish the Voronovskaja-type theorem and give an estimate of the order of approximation with the help of Peetre’s K -functional of our newly defined operators. Moreover, we define the associated generalized B...

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Vydáno v:	Advances in difference equations Ročník 2020; číslo 1; s. 1 - 17
Hlavní autor:	Mohiuddine, S. A.
Médium:	Journal Article
Jazyk:	angličtina
Vydáno:	Cham Springer International Publishing 01.12.2020 Springer Nature B.V SpringerOpen
Témata:	Analysis Applications Approximation Bivariate analysis Bivariate α-Bernstein–Schurer operators Boolean algebra Bögel differentiable function Difference and Functional Equations Functional Analysis GBS operators Mathematical analysis Mathematics Mathematics and Statistics Methods Modulus of continuity Operators Ordinary Differential Equations Partial Differential Equations Smoothness Topics in Special Functions and q-Special Functions: Theory α-Bernstein operators Bernstein operators Bögel differentiable function 41A25 41A36 Bivariate GBS operators 41A10 Bernstein–Schurer operators Modulus of continuity
ISSN:	1687-1847, 1687-1839, 1687-1847
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