Convergence estimates for some composition operators

Year 2024, Volume: 7 Issue: 2, 69 - 76, 15.06.2024

Vijay Gupta , Ruchi Gupta

https://doi.org/10.33205/cma.1474535

Abstract

There are different methods available in literature to construct a new operator. One of the methods to construct an operator is the composition method. It is known that Baskakov operators can be achieved by composition of Post Widder $P_n$ and Sz\'asz-Mirakjan $S_n$ operators in that order, which is a discretely defined operator. But when we consider different order composition namely $S_n\circ P_n$, we get another different operator. Here we study such and we establish some convergence estimates for the composition operators $S_n\circ P_n$, along with difference with other operators. Finally we found the difference between two compositions by considering numeric values.

Keywords

Szasz operators, Post-Widder operators, Moment generating function, Convergence.

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