Moment Generating Functions and Moments of Linear Positive Operators

Vijay Gupta, Neha Malik and Themistocles M. Rassias ()
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Vijay Gupta: Netaji Subhas Institute of Technology
Neha Malik: Netaji Subhas Institute of Technology
Themistocles M. Rassias: National Technical University of Athens

A chapter in Modern Discrete Mathematics and Analysis, 2018, pp 187-215 from Springer

Abstract: Abstract In the theory of approximation, moments play an important role in order to study the convergence of sequence of linear positive operators. Several new operators have been discussed in the past decade and their moments have been obtained by direct computation or by attaining the recurrence relation to get the higher moments. Using the concept of moment generating function, we provide an alternate approach to estimate the higher order moments. The present article deals with the m.g.f. of some of the important operators. We estimate the moments up to order six for some of the discrete operators and their Kantorovich variants.

Date: 2018
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Persistent link: https://EconPapers.repec.org/RePEc:spr:spochp:978-3-319-74325-7_8

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DOI: 10.1007/978-3-319-74325-7_8

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