New Inequalities for Strongly r-Convex Functions
In this study, firstly we introduce a new concept called “strongly r-convex function.” After that we establish Hermite-Hadamard-like inequalities for this class of functions. Moreover, by using an integral identity together with some well known integral inequalities, we establish several new inequal...
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| Format: | Article |
| Language: | English |
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Wiley
2019-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2019/1219237 |
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| _version_ | 1850220393233645568 |
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| author | Huriye Kadakal |
| author_facet | Huriye Kadakal |
| author_sort | Huriye Kadakal |
| collection | DOAJ |
| description | In this study, firstly we introduce a new concept called “strongly r-convex function.” After that we establish Hermite-Hadamard-like inequalities for this class of functions. Moreover, by using an integral identity together with some well known integral inequalities, we establish several new inequalities for n-times differentiable strongly r-convex functions. In special cases, the results obtained coincide with the well-known results in the literature. |
| format | Article |
| id | doaj-art-7accecfb84a845e1b1dd22437f290ffb |
| institution | OA Journals |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2019-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-7accecfb84a845e1b1dd22437f290ffb2025-08-20T02:07:05ZengWileyJournal of Function Spaces2314-88962314-88882019-01-01201910.1155/2019/12192371219237New Inequalities for Strongly r-Convex FunctionsHuriye Kadakal0Ministry of Education, Bulancak Bahçelievler Anatolian High School, Giresun, TurkeyIn this study, firstly we introduce a new concept called “strongly r-convex function.” After that we establish Hermite-Hadamard-like inequalities for this class of functions. Moreover, by using an integral identity together with some well known integral inequalities, we establish several new inequalities for n-times differentiable strongly r-convex functions. In special cases, the results obtained coincide with the well-known results in the literature.http://dx.doi.org/10.1155/2019/1219237 |
| spellingShingle | Huriye Kadakal New Inequalities for Strongly r-Convex Functions Journal of Function Spaces |
| title | New Inequalities for Strongly r-Convex Functions |
| title_full | New Inequalities for Strongly r-Convex Functions |
| title_fullStr | New Inequalities for Strongly r-Convex Functions |
| title_full_unstemmed | New Inequalities for Strongly r-Convex Functions |
| title_short | New Inequalities for Strongly r-Convex Functions |
| title_sort | new inequalities for strongly r convex functions |
| url | http://dx.doi.org/10.1155/2019/1219237 |
| work_keys_str_mv | AT huriyekadakal newinequalitiesforstronglyrconvexfunctions |