Integral inequalities of Hilbert's type involving Fenchel-Legendre transform with applications

New integral inequalities of Hilbert's type are introduced through Fenchel-Legendre transform. Some of these inequalities are considered as generalizations as well as improvements of some previously proved results. Applications of the extracted inequalities are presented.

Bibliographic Details
Main Authors: Adnane Hamiaz, Waleed Abuelela, Gaber M. Bahaa
Format: Article
Language:English
Published: Taylor & Francis Group 2019-12-01
Series:Journal of Taibah University for Science
Subjects:
Online Access:http://dx.doi.org/10.1080/16583655.2019.1579952
Description
Summary:New integral inequalities of Hilbert's type are introduced through Fenchel-Legendre transform. Some of these inequalities are considered as generalizations as well as improvements of some previously proved results. Applications of the extracted inequalities are presented.
ISSN:1658-3655