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 tim...

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Bibliographic Details
Published in:Abstract and Applied Analysis 2015, Vol.2015 (2015), p.486-495
Main Authors: Bibi, Rabia, Shahzad, Muhammad
Format: Article
Language:English
Subjects:
Inequalities (Mathematics)
Mathematical research
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Summary: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.
ISSN:1085-3375
1687-0409
DOI:10.1155/2015/684763