Convergence on sequences of Szász-Jakimovski-Leviatan type operators and related results

Abstract

<p style='text-indent:20px;'>In the present article, we construct the Szász-Jakimovski-Leviatan operators in parametric form by including the sequences of continuous functions and then investigate the approximation properties. We have successfully estimated the convergence by use of modulus of continuity in the spaces of Lipschitz functions, Peetres <inline-formula><tex-math id="M1">\begin{document}$ K $\end{document}</tex-math></inline-formula>-functional and weighted functions.</p>