Baskakov-Kantorovich operators reproducing affine functions:  inverse  results

Bustamante, Jorge

doi:10.33993/jnaat511-1264

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Szász-mirakjan and Post-widder Composition1

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2024

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“…In the last few decades, many new operators have been introduced by the researchers using different methods, some were generalizations of existing operators while some using generating functions, we mention here some of the recent studies [2,3,4,6,7,9,14,18,22] etc. .…”

Section: Szász-mirakjan and Post-widder Compositionmentioning

confidence: 99%

Convergence estimates for some composition operators

Gupta,

Gupta

2024

Constructive Mathematical Analysis

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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.

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