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.
The original version of this chapter was revised. A correction to this chapter is available at https://doi.org/10.1007/978-3-319-74325-7_25
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Change history
27 September 2018
The original version of the chapter was inadvertently published with some errors. The chapter has now been corrected and approved by the authors.
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Gupta, V., Malik, N., Rassias, T.M. (2018). Moment Generating Functions and Moments of Linear Positive Operators. In: Daras, N., Rassias, T. (eds) Modern Discrete Mathematics and Analysis . Springer Optimization and Its Applications, vol 131. Springer, Cham. https://doi.org/10.1007/978-3-319-74325-7_8
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