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Article . 2022
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Mathematical Foundations of Computing
Article . 2022 . Peer-reviewed
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Article . 2024
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Dunkl analogue of Sz$ \acute{a} $sz-Schurer-Beta operators and their approximation behaviour

Dunkl analogue of Szász-Schurer-Beta operators and their approximation behaviour
Authors: Mohd Raiz; Amit Kumar; Vishnu Narayan Mishra; Nadeem Rao;

Dunkl analogue of Sz$ \acute{a} $sz-Schurer-Beta operators and their approximation behaviour

Abstract

<p style='text-indent:20px;'>The goal of the present manuscript is to introduce a new sequence of linear positive operators, i.e., Sz<inline-formula><tex-math id="M2">\begin{document}$ \acute{a} $\end{document}</tex-math></inline-formula>sz-Schurer-Beta type operators to approximate a class of Lebesgue integrable functions. Moreover, we calculate basic estimates and central moments for these sequences of operators. Further, rapidity of convergence and order of approximation are investigated in terms of Korovkin theorem and modulus of smoothess. In subsequent section, local and global approximation properties are studied in various functional spaces.</p>

Keywords

Approximation by polynomials, order of approximation, weighted approximation, Simultaneous approximation, statistical approximation, modulus of continuity, Approximation by operators (in particular, by integral operators), Approximation by positive operators, Rate of convergence, degree of approximation, rate of convergence

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
22
Top 10%
Top 10%
Top 10%
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