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.

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