New Weighted Opial-Type Inequalities on Time Scales for Convex Functions

New Weighted Opial-Type Inequalities on Time Scales for Convex Functions

Our work is based on the multiple inequalities illustrated in 1967 by E. K. Godunova and V. I. Levin, in 1990 by Hwang and Yang and in 1993 by B. G. Pachpatte. With the help of the dynamic Jensen and Hölder inequality, we generalize a number of those inequalities to a general time scale. In addition...

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Bibliographic Details
Main Authors: Ahmed A. El-Deeb, Dumitru Baleanu
Format: Article
Language:English
Published: MDPI AG 2020-05-01
Series:Symmetry
Subjects:
opial-type inequality
dynamic inequality
convexity
time scale
Online Access:https://www.mdpi.com/2073-8994/12/5/842
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spelling doaj-1161c3436f8a4cd5947164d09837b3c42020-11-25T03:13:33ZengMDPI AGSymmetry2073-89942020-05-011284284210.3390/sym12050842New Weighted Opial-Type Inequalities on Time Scales for Convex FunctionsAhmed A. El-Deeb0Dumitru Baleanu1Department of Mathematics, Faculty of Science, Al-Azhar University, Nasr City 11884, Cairo, EgyptDepartment of Mathematics, Cankaya University, Ankara 06530, TurkeyOur work is based on the multiple inequalities illustrated in 1967 by E. K. Godunova and V. I. Levin, in 1990 by Hwang and Yang and in 1993 by B. G. Pachpatte. With the help of the dynamic Jensen and Hölder inequality, we generalize a number of those inequalities to a general time scale. In addition to these generalizations, some integral and discrete inequalities will be obtained as special cases of our results.https://www.mdpi.com/2073-8994/12/5/842opial-type inequalitydynamic inequalityconvexitytime scale
collection DOAJ
language English
format Article
sources DOAJ
author Ahmed A. El-Deeb
Dumitru Baleanu
spellingShingle Ahmed A. El-Deeb
Dumitru Baleanu
New Weighted Opial-Type Inequalities on Time Scales for Convex Functions
Symmetry
opial-type inequality
dynamic inequality
convexity
time scale
author_facet Ahmed A. El-Deeb
Dumitru Baleanu
author_sort Ahmed A. El-Deeb
title New Weighted Opial-Type Inequalities on Time Scales for Convex Functions
title_short New Weighted Opial-Type Inequalities on Time Scales for Convex Functions
title_full New Weighted Opial-Type Inequalities on Time Scales for Convex Functions
title_fullStr New Weighted Opial-Type Inequalities on Time Scales for Convex Functions
title_full_unstemmed New Weighted Opial-Type Inequalities on Time Scales for Convex Functions
title_sort new weighted opial-type inequalities on time scales for convex functions
publisher MDPI AG
series Symmetry
issn 2073-8994
publishDate 2020-05-01
description Our work is based on the multiple inequalities illustrated in 1967 by E. K. Godunova and V. I. Levin, in 1990 by Hwang and Yang and in 1993 by B. G. Pachpatte. With the help of the dynamic Jensen and Hölder inequality, we generalize a number of those inequalities to a general time scale. In addition to these generalizations, some integral and discrete inequalities will be obtained as special cases of our results.
topic opial-type inequality
dynamic inequality
convexity
time scale
url https://www.mdpi.com/2073-8994/12/5/842
work_keys_str_mv AT ahmedaeldeeb newweightedopialtypeinequalitiesontimescalesforconvexfunctions
AT dumitrubaleanu newweightedopialtypeinequalitiesontimescalesforconvexfunctions
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