Norm Inequalities for Generalized Laplace Transforms

Kuang, J. C.

doi:10.1007/978-3-030-37904-9_5

J. C. Kuang³

Abstract

This paper introduced the new generalized Laplace transform. It contains the generalized Stieltjes transform and the Hankel transform etc. The corresponding new operator norm inequalities are obtained.The discrete versions of the main results are also given.As applications,a large number of known and new results have been obtained by proper choice of kernel. They are significant improvement and generalizations of many famous results.

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Department of Mathematics, Hunan Normal University Changsha, Hunan, P. R. China
J. C. Kuang

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J. C. Kuang
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Correspondence to J. C. Kuang .

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Moscow Institute of Physics and Technology, Dolgoprudny, Russia, Moscow state University, Moscow, Russia, Buryat State University, Ulan-Ude, Russia, Caucasus Mathematical Center, Adyghe State University, Maykop, Russia
Andrei Raigorodskii
Institute of Mathematics, University of Zurich, Zurich, Switzerland, Moscow Institute of Physics and Technology, Dolgoprudny, Russia, Institute for Advanced Study Program in Interdisciplinary Studies, Princeton, NJ, USA
Michael Th. Rassias

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Kuang, J.C. (2020). Norm Inequalities for Generalized Laplace Transforms. In: Raigorodskii, A., Rassias, M. (eds) Trigonometric Sums and Their Applications. Springer, Cham. https://doi.org/10.1007/978-3-030-37904-9_5

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DOI: https://doi.org/10.1007/978-3-030-37904-9_5
Published: 12 March 2020
Publisher Name: Springer, Cham
Print ISBN: 978-3-030-37903-2
Online ISBN: 978-3-030-37904-9
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)

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