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Moment Generating Functions and Moments of Linear Positive Operators

In: Modern Discrete Mathematics and Analysis

Author

Listed:
  • Vijay Gupta

    (Netaji Subhas Institute of Technology)

  • Neha Malik

    (Netaji Subhas Institute of Technology)

  • Themistocles M. Rassias

    (National Technical University of Athens)

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.

Suggested Citation

  • Vijay Gupta & Neha Malik & Themistocles M. Rassias, 2018. "Moment Generating Functions and Moments of Linear Positive Operators," Springer Optimization and Its Applications, in: Nicholas J. Daras & Themistocles M. Rassias (ed.), Modern Discrete Mathematics and Analysis, pages 187-215, Springer.
    • Handle: RePEc:spr:spochp:978-3-319-74325-7_8
    DOI: 10.1007/978-3-319-74325-7_8
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