Refinements and Generalizations of Functional Dresher’s and Bellman’s Inequalities

Refinements and Generalizations of Functional Dresher’s and Bellman’s Inequalities

We give refinements and generalizations of the Dresher and Bellman inequalities for positive linear functionals. We also give reverse of the new obtained generalized version of these inequalities. Finally, we apply our results on time scales integrals to obtain refinements and generalizations of t...

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Main Authors: Rabia Bibi, Muhammad Shahzad
Format: Article
Language:English
Published: Hindawi Limited 2015-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2015/684763
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spelling doaj-ef3641036d184caeb93ca8b6002cc92d2020-11-24T22:20:22ZengHindawi LimitedAbstract and Applied Analysis1085-33751687-04092015-01-01201510.1155/2015/684763684763Refinements and Generalizations of Functional Dresher’s and Bellman’s InequalitiesRabia Bibi0Muhammad Shahzad1Department of Mathematics, Hazara University, Mansehra 21300, PakistanDepartment of Mathematics, Hazara University, Mansehra 21300, PakistanWe give refinements and generalizations of the Dresher and Bellman inequalities for positive linear functionals. We also give reverse of the new obtained generalized version of these inequalities. Finally, we apply our results on time scales integrals to obtain refinements and generalizations of time scales Dresher’s and Bellman’s inequalities.http://dx.doi.org/10.1155/2015/684763
collection DOAJ
language English
format Article
sources DOAJ
author Rabia Bibi
Muhammad Shahzad
spellingShingle Rabia Bibi
Muhammad Shahzad
Refinements and Generalizations of Functional Dresher’s and Bellman’s Inequalities
Abstract and Applied Analysis
author_facet Rabia Bibi
Muhammad Shahzad
author_sort Rabia Bibi
title Refinements and Generalizations of Functional Dresher’s and Bellman’s Inequalities
title_short Refinements and Generalizations of Functional Dresher’s and Bellman’s Inequalities
title_full Refinements and Generalizations of Functional Dresher’s and Bellman’s Inequalities
title_fullStr Refinements and Generalizations of Functional Dresher’s and Bellman’s Inequalities
title_full_unstemmed Refinements and Generalizations of Functional Dresher’s and Bellman’s Inequalities
title_sort refinements and generalizations of functional dresher’s and bellman’s inequalities
publisher Hindawi Limited
series Abstract and Applied Analysis
issn 1085-3375
1687-0409
publishDate 2015-01-01
description We give refinements and generalizations of the Dresher and Bellman inequalities for positive linear functionals. We also give reverse of the new obtained generalized version of these inequalities. Finally, we apply our results on time scales integrals to obtain refinements and generalizations of time scales Dresher’s and Bellman’s inequalities.
url http://dx.doi.org/10.1155/2015/684763
work_keys_str_mv AT rabiabibi refinementsandgeneralizationsoffunctionaldreshersandbellmansinequalities
AT muhammadshahzad refinementsandgeneralizationsoffunctionaldreshersandbellmansinequalities
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