New refinements for integral and sum forms of Hölder inequality
Abstract In this paper, we establish new refinements for integral and sum forms of Hölder inequality. Many existing inequalities related to the Hölder inequality can be improved via newly obtained inequalities, which we illustrate by an application.
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| Format: | Article |
| Language: | English |
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SpringerOpen
2019-11-01
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| Series: | Journal of Inequalities and Applications |
| Subjects: | |
| Online Access: | https://doi.org/10.1186/s13660-019-2258-5 |
| _version_ | 1818826545149509632 |
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| author | İmdat İşcan |
| author_facet | İmdat İşcan |
| author_sort | İmdat İşcan |
| collection | DOAJ |
| description | Abstract In this paper, we establish new refinements for integral and sum forms of Hölder inequality. Many existing inequalities related to the Hölder inequality can be improved via newly obtained inequalities, which we illustrate by an application. |
| first_indexed | 2024-12-19T00:29:22Z |
| format | Article |
| id | doaj.art-c0aa8356312442489deb4c19450b9c08 |
| institution | Directory Open Access Journal |
| issn | 1029-242X |
| language | English |
| last_indexed | 2024-12-19T00:29:22Z |
| publishDate | 2019-11-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of Inequalities and Applications |
| spelling | doaj.art-c0aa8356312442489deb4c19450b9c082022-12-21T20:45:10ZengSpringerOpenJournal of Inequalities and Applications1029-242X2019-11-012019111110.1186/s13660-019-2258-5New refinements for integral and sum forms of Hölder inequalityİmdat İşcan0Department of Mathematics, Faculty of Arts and Sciences, Giresun UniversityAbstract In this paper, we establish new refinements for integral and sum forms of Hölder inequality. Many existing inequalities related to the Hölder inequality can be improved via newly obtained inequalities, which we illustrate by an application.https://doi.org/10.1186/s13660-019-2258-5Hölder inequalityYoung inequalityIntegral inequalitiesHermite–Hadamard-type inequality |
| spellingShingle | İmdat İşcan New refinements for integral and sum forms of Hölder inequality Journal of Inequalities and Applications Hölder inequality Young inequality Integral inequalities Hermite–Hadamard-type inequality |
| title | New refinements for integral and sum forms of Hölder inequality |
| title_full | New refinements for integral and sum forms of Hölder inequality |
| title_fullStr | New refinements for integral and sum forms of Hölder inequality |
| title_full_unstemmed | New refinements for integral and sum forms of Hölder inequality |
| title_short | New refinements for integral and sum forms of Hölder inequality |
| title_sort | new refinements for integral and sum forms of holder inequality |
| topic | Hölder inequality Young inequality Integral inequalities Hermite–Hadamard-type inequality |
| url | https://doi.org/10.1186/s13660-019-2258-5 |
| work_keys_str_mv | AT imdatiscan newrefinementsforintegralandsumformsofholderinequality |