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

2022; American Institute of Mathematical Sciences; Volume: 5; Issue: 4 Linguagem: Inglês

10.3934/mfc.2022007

2577-8838

Mohd Raiz, Amit Kumar, Vishnu Narayan Mishra, Nadeem Rao,

Advanced Harmonic Analysis Research

<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>