Generalizations of Ostrowski type inequalities via F-convexity
The aim of this article is to give new generalizations of both the Ostrowski's inequality and some of its new variants with the help of the F-convex function class, which is a generalization of the strongly convex functions. Young's inequality, which is well known in the literature, as wel...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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AIMS Press
2022-01-01
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| Series: | AIMS Mathematics |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/math.2022396?viewType=HTML |
| _version_ | 1819278451637485568 |
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| author | Alper Ekinci Erhan Set Thabet Abdeljawad Nabil Mlaiki |
| author_facet | Alper Ekinci Erhan Set Thabet Abdeljawad Nabil Mlaiki |
| author_sort | Alper Ekinci |
| collection | DOAJ |
| description | The aim of this article is to give new generalizations of both the Ostrowski's inequality and some of its new variants with the help of the F-convex function class, which is a generalization of the strongly convex functions. Young's inequality, which is well known in the literature, as well as Hölder's inequality, was used to obtain the new results. Also we obtain some results for convex and strongly convex functions by utilizing these inequalities. |
| first_indexed | 2024-12-24T00:12:13Z |
| format | Article |
| id | doaj.art-1cbdaf109e0248f58bff3aca6a2a4c10 |
| institution | Directory Open Access Journal |
| issn | 2473-6988 |
| language | English |
| last_indexed | 2024-12-24T00:12:13Z |
| publishDate | 2022-01-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | AIMS Mathematics |
| spelling | doaj.art-1cbdaf109e0248f58bff3aca6a2a4c102022-12-21T17:24:51ZengAIMS PressAIMS Mathematics2473-69882022-01-01747106711610.3934/math.2022396Generalizations of Ostrowski type inequalities via F-convexityAlper Ekinci 0Erhan Set1Thabet Abdeljawad 2Nabil Mlaiki31. Bandirma Vocational High School, Bandirma Onyedi Eylul University, Balikesir, Turkey2. Faculty of Science and Arts, Ordu University, Ordu, Turkey3. Department of Mathematics and Sciences, Prince Sultan University, Riyadh 11586, Saudi Arabia 4. Department of Medical Research, China Medical University, Taichung 40402, Taiwan3. Department of Mathematics and Sciences, Prince Sultan University, Riyadh 11586, Saudi ArabiaThe aim of this article is to give new generalizations of both the Ostrowski's inequality and some of its new variants with the help of the F-convex function class, which is a generalization of the strongly convex functions. Young's inequality, which is well known in the literature, as well as Hölder's inequality, was used to obtain the new results. Also we obtain some results for convex and strongly convex functions by utilizing these inequalities.https://www.aimspress.com/article/doi/10.3934/math.2022396?viewType=HTMLconvex functionsf-convex functionsstrongly convex functionsostrowski's inequalityyoung's inequality |
| spellingShingle | Alper Ekinci Erhan Set Thabet Abdeljawad Nabil Mlaiki Generalizations of Ostrowski type inequalities via F-convexity AIMS Mathematics convex functions f-convex functions strongly convex functions ostrowski's inequality young's inequality |
| title | Generalizations of Ostrowski type inequalities via F-convexity |
| title_full | Generalizations of Ostrowski type inequalities via F-convexity |
| title_fullStr | Generalizations of Ostrowski type inequalities via F-convexity |
| title_full_unstemmed | Generalizations of Ostrowski type inequalities via F-convexity |
| title_short | Generalizations of Ostrowski type inequalities via F-convexity |
| title_sort | generalizations of ostrowski type inequalities via f convexity |
| topic | convex functions f-convex functions strongly convex functions ostrowski's inequality young's inequality |
| url | https://www.aimspress.com/article/doi/10.3934/math.2022396?viewType=HTML |
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