
doi: 10.3934/mfc.2022007
<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>
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
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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