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: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2015-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2015/684763 |
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| _version_ | 1849690829395853312 |
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| author | Rabia Bibi Muhammad Shahzad |
| author_facet | Rabia Bibi Muhammad Shahzad |
| author_sort | Rabia Bibi |
| collection | DOAJ |
| 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. |
| format | Article |
| id | doaj-art-ef3641036d184caeb93ca8b6002cc92d |
| institution | DOAJ |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2015-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-ef3641036d184caeb93ca8b6002cc92d2025-08-20T03:21:12ZengWileyAbstract 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 |
| spellingShingle | Rabia Bibi Muhammad Shahzad Refinements and Generalizations of Functional Dresher’s and Bellman’s Inequalities Abstract and Applied Analysis |
| title | 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_short | Refinements and Generalizations of Functional Dresher’s and
Bellman’s Inequalities |
| title_sort | refinements and generalizations of functional 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 |