Hermite-Hadamard type inequalities for p-convex functions via fractional integrals
In this paper, we present Hermite-Hadamard inequality for p-convex functions in fractional integral forms. we obtain an integral equality and some Hermite-Hadamard type integral inequalities for p-convex functions in fractional integral forms. We give some Hermite-Hadamard type inequalities for conv...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Sciendo
2017-06-01
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| Series: | Moroccan Journal of Pure and Applied Analysis |
| Subjects: | |
| Online Access: | https://doi.org/10.1515/mjpaa-2017-0003 |
| _version_ | 1818393234822397952 |
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| author | Kunt Mehmet İşcan İmdat |
| author_facet | Kunt Mehmet İşcan İmdat |
| author_sort | Kunt Mehmet |
| collection | DOAJ |
| description | In this paper, we present Hermite-Hadamard inequality for p-convex functions in fractional integral forms. we obtain an integral equality and some Hermite-Hadamard type integral inequalities for p-convex functions in fractional integral forms. We give some Hermite-Hadamard type inequalities for convex, harmonically convex and p-convex functions. Some results presented in this paper for p-convex functions, provide extensions of others given in earlier works for convex, harmonically convex and p-convex functions. |
| first_indexed | 2024-12-14T05:42:05Z |
| format | Article |
| id | doaj.art-d49bcbd2e3b1470390320331aea9cbab |
| institution | Directory Open Access Journal |
| issn | 2351-8227 |
| language | English |
| last_indexed | 2024-12-14T05:42:05Z |
| publishDate | 2017-06-01 |
| publisher | Sciendo |
| record_format | Article |
| series | Moroccan Journal of Pure and Applied Analysis |
| spelling | doaj.art-d49bcbd2e3b1470390320331aea9cbab2022-12-21T23:15:00ZengSciendoMoroccan Journal of Pure and Applied Analysis2351-82272017-06-0131223410.1515/mjpaa-2017-0003Hermite-Hadamard type inequalities for p-convex functions via fractional integralsKunt Mehmet0İşcan İmdat1Department of Mathematics, Faculty of Sciences, Karadeniz Technical University, 61080, Trabzon, TurkeyDepartment of Mathematics, Faculty of Sciences and Arts, Giresun University, 28200, Giresun, TurkeyIn this paper, we present Hermite-Hadamard inequality for p-convex functions in fractional integral forms. we obtain an integral equality and some Hermite-Hadamard type integral inequalities for p-convex functions in fractional integral forms. We give some Hermite-Hadamard type inequalities for convex, harmonically convex and p-convex functions. Some results presented in this paper for p-convex functions, provide extensions of others given in earlier works for convex, harmonically convex and p-convex functions.https://doi.org/10.1515/mjpaa-2017-0003hermite-hadamard inequalities,fractional integralconvex functionsharmonically convex functionsp-convex functions |
| spellingShingle | Kunt Mehmet İşcan İmdat Hermite-Hadamard type inequalities for p-convex functions via fractional integrals Moroccan Journal of Pure and Applied Analysis hermite-hadamard inequalities,fractional integral convex functions harmonically convex functions p-convex functions |
| title | Hermite-Hadamard type inequalities for p-convex functions via fractional integrals |
| title_full | Hermite-Hadamard type inequalities for p-convex functions via fractional integrals |
| title_fullStr | Hermite-Hadamard type inequalities for p-convex functions via fractional integrals |
| title_full_unstemmed | Hermite-Hadamard type inequalities for p-convex functions via fractional integrals |
| title_short | Hermite-Hadamard type inequalities for p-convex functions via fractional integrals |
| title_sort | hermite hadamard type inequalities for p convex functions via fractional integrals |
| topic | hermite-hadamard inequalities,fractional integral convex functions harmonically convex functions p-convex functions |
| url | https://doi.org/10.1515/mjpaa-2017-0003 |
| work_keys_str_mv | AT kuntmehmet hermitehadamardtypeinequalitiesforpconvexfunctionsviafractionalintegrals AT iscanimdat hermitehadamardtypeinequalitiesforpconvexfunctionsviafractionalintegrals |