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Moment Generating Functions and Central Moments

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Recent Advances in Constructive Approximation Theory

Part of the book series: Springer Optimization and Its Applications ((SOIA,volume 138))

Abstract

This section deals with the moment generating functions (m.g.f.) up to sixth order of some discretely defined operators. We mention the m.g.f. and express them in expanded form to obtain moments, which are important in the theory of approximation relevant to problems of convergence.

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Notes

  1. 1.

    The interested reader is referred to the works [162–166] relevant to other techniques for the approximation of moments of trigonometric functions with applications to problems of analytic number theory, such as Riemann’s Hypothesis.

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Gupta, V., Rassias, T.M., Agrawal, P.N., Acu, A.M. (2018). Moment Generating Functions and Central Moments. In: Recent Advances in Constructive Approximation Theory. Springer Optimization and Its Applications, vol 138. Springer, Cham. https://doi.org/10.1007/978-3-319-92165-5_1

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