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Hypergeometric Representation of Certain Summation–Integral Operators

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Book cover Topics in Mathematical Analysis and Applications

Part of the book series: Springer Optimization and Its Applications ((SOIA,volume 94))

Abstract

The general sequence of the summation-integral type operators was proposed by Srivastava and Gupta [Math. Comput. Modelling 37(12–13)(2003), 1307–1315]. In the present article we give the alternate forms of such operators in terms of hypergeometric series. We also obtain moments using hypergeometric series. Finally we obtain the rate of convergence for functions having bounded derivatives.

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Correspondence to Themistocles M. Rassias .

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Gupta, V., Rassias, T.M. (2014). Hypergeometric Representation of Certain Summation–Integral Operators. In: Rassias, T., Tóth, L. (eds) Topics in Mathematical Analysis and Applications. Springer Optimization and Its Applications, vol 94. Springer, Cham. https://doi.org/10.1007/978-3-319-06554-0_18

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