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

IF 1.3 Q3 COMPUTER SCIENCE, THEORY & METHODS Mathematical foundations of computing Pub Date : 2023-01-01 DOI:10.3934/mfc.2022019
M. Nasiruzzaman
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Abstract

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 \begin{document}$ K $\end{document}-functional and weighted functions.

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Szász-Jakimovski-Leviatan类型算子序列的收敛性及相关结果
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 \begin{document}$ K $\end{document}-functional and weighted functions.
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