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Norm Inequalities for Generalized Laplace Transforms

In: Trigonometric Sums and Their Applications

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  • J. C. Kuang

    (Hunan Normal University Changsha, Department of Mathematics)

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.

Suggested Citation

  • J. C. Kuang, 2020. "Norm Inequalities for Generalized Laplace Transforms," Springer Books, in: Andrei Raigorodskii & Michael Th. Rassias (ed.), Trigonometric Sums and Their Applications, pages 97-117, Springer.
    • Handle: RePEc:spr:sprchp:978-3-030-37904-9_5
    DOI: 10.1007/978-3-030-37904-9_5
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