Combinations of integral operators

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摘要

In the present article we introduce a general sequence of summation–integral operators. The special cases of which are the well known Phillips and the Szász–Beta operators. Here we consider the linear combinations of Szász–Beta operators and establish a Voronovskaja-type theorem and a direct result in terms of higher order modulus of continuity.

论文关键词:Phillips operators,Szász–Beta operators,Moments,Confluent hypergeometric series,Generalized Laguerre polynomials,Linear combinations,Voronovskaja theorem

论文评审过程:Available online 8 October 2013.

论文官网地址:https://doi.org/10.1016/j.amc.2013.09.021