Generalized integral inequalities on time scales

Abstract The theory of dynamic equations on time scales which was formulated by Hilger is an area of mathematics which is currently receiving profuse attention. Despite the fact that the basic objective of times scales is to bring together the study of difference and differential equations, it also...

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Main Authors: Tooba Fayyaz, Nazia Irshad, Asif R Khan, Ghaus ur Rahman, Gholam Roqia
Format: Article
Language:English
Published: SpringerOpen 2016-09-01
Series:Journal of Inequalities and Applications
Subjects:
Online Access:http://link.springer.com/article/10.1186/s13660-016-1170-5
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author Tooba Fayyaz
Nazia Irshad
Asif R Khan
Ghaus ur Rahman
Gholam Roqia
author_facet Tooba Fayyaz
Nazia Irshad
Asif R Khan
Ghaus ur Rahman
Gholam Roqia
author_sort Tooba Fayyaz
collection DOAJ
description Abstract The theory of dynamic equations on time scales which was formulated by Hilger is an area of mathematics which is currently receiving profuse attention. Despite the fact that the basic objective of times scales is to bring together the study of difference and differential equations, it also extends these classical cases to ‘in-between’. In the present article we present a version of Feng Qi integral inequalities on time scales which are in fact generalizations of results given in different articles.
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spelling doaj.art-c507d8aebfe941c49a5e88821084e71f2022-12-21T17:43:16ZengSpringerOpenJournal of Inequalities and Applications1029-242X2016-09-012016111210.1186/s13660-016-1170-5Generalized integral inequalities on time scalesTooba Fayyaz0Nazia Irshad1Asif R Khan2Ghaus ur Rahman3Gholam Roqia4Department of Mathematics, University of KarachiDepartment of Mathematics, University of KarachiDepartment of Mathematics, University of KarachiDepartment of Mathematics and Statistics, University of SwatComsats Institute of Information TechnologyAbstract The theory of dynamic equations on time scales which was formulated by Hilger is an area of mathematics which is currently receiving profuse attention. Despite the fact that the basic objective of times scales is to bring together the study of difference and differential equations, it also extends these classical cases to ‘in-between’. In the present article we present a version of Feng Qi integral inequalities on time scales which are in fact generalizations of results given in different articles.http://link.springer.com/article/10.1186/s13660-016-1170-5time scaleFeng Qi inequalitynon-negative increasing functionΔ and ∇ integrals( q , h ) $(q, h)$ -derivative
spellingShingle Tooba Fayyaz
Nazia Irshad
Asif R Khan
Ghaus ur Rahman
Gholam Roqia
Generalized integral inequalities on time scales
Journal of Inequalities and Applications
time scale
Feng Qi inequality
non-negative increasing function
Δ and ∇ integrals
( q , h ) $(q, h)$ -derivative
title Generalized integral inequalities on time scales
title_full Generalized integral inequalities on time scales
title_fullStr Generalized integral inequalities on time scales
title_full_unstemmed Generalized integral inequalities on time scales
title_short Generalized integral inequalities on time scales
title_sort generalized integral inequalities on time scales
topic time scale
Feng Qi inequality
non-negative increasing function
Δ and ∇ integrals
( q , h ) $(q, h)$ -derivative
url http://link.springer.com/article/10.1186/s13660-016-1170-5
work_keys_str_mv AT toobafayyaz generalizedintegralinequalitiesontimescales
AT naziairshad generalizedintegralinequalitiesontimescales
AT asifrkhan generalizedintegralinequalitiesontimescales
AT ghausurrahman generalizedintegralinequalitiesontimescales
AT gholamroqia generalizedintegralinequalitiesontimescales