IJPAM: Volume 101, No. 1 (2015)

ON AN INEQUALITY RELATED TO
HILBERT'S WITH LAPLACE TRANSFORM

Waleed Abuelela
Department of Mathematics
Deanery of Academic Services
Taibah University
University Road, P.O. Box 344, Madina, 41411, KSA
Department of Mathematics
Faculty of Science
Al-Azhar University
Nasr City, 11884, Cairo, EGYPT


Abstract. Considering different parameters, we obtain new Hilbert-type inequalities involving the Laplace transform. Then we extract from our results some special cases.

Received: February 21, 2015

AMS Subject Classification: 26D15, 26D07, 26D10, 44A10

Key Words and Phrases: Hilbert inequality, Hölder inequality, Laplace transform, Gamma function

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DOI: 10.12732/ijpam.v101i1.9 How to cite this paper?

Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2015
Volume: 101
Issue: 1
Pages: 87 - 94


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