Open AccessDunkl analogue of Sz$ \acute{a} $sz-Schurer-Beta operators and their approximation behaviour
Author(s) -
Mohd Raiz,
Amit Kumar,
Vishnu Narayan Mishra,
Nadeem Rao
Publication year - 2022
Publication title -
mathematical foundations of computing
Language(s) - English
Resource type - Journals
ISSN - 2577-8838
DOI - 10.3934/mfc.2022007
Subject(s) - mathematics , beta (programming language) , linear operators , sequence (biology) , integrable system , modulus of continuity , convergence (economics) , type (biology) , order (exchange) , lp space , discrete mathematics , pure mathematics , mathematical analysis , banach space , computer science , ecology , finance , biology , economics , bounded function , genetics , programming language , economic growth
The goal of the present manuscript is to introduce a new sequence of linear positive operators, i.e., Sz \begin{document}$ \acute{a} $\end{document} 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.