Fejér type inequalities for harmonically convex functions
In this study, some mappings related to the Fejér-type inequalities for harmonically convex functions are defined over [0,1]. Some Fejér-type inequalities for harmonically convex functions are proved using these mappings. Properties of these mappings are considered and consequently, refinements are...
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| Format: | Article |
| Language: | English |
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AIMS Press
2022-06-01
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| Series: | AIMS Mathematics |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/math.2022835?viewType=HTML |
| _version_ | 1818216331229528064 |
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| author | Muhammad Amer Latif |
| author_facet | Muhammad Amer Latif |
| author_sort | Muhammad Amer Latif |
| collection | DOAJ |
| description | In this study, some mappings related to the Fejér-type inequalities for harmonically convex functions are defined over [0,1]. Some Fejér-type inequalities for harmonically convex functions are proved using these mappings. Properties of these mappings are considered and consequently, refinements are obtained of some known results. |
| first_indexed | 2024-12-12T06:50:16Z |
| format | Article |
| id | doaj.art-bc46781554fd4af6bed3345483fcb70f |
| institution | Directory Open Access Journal |
| issn | 2473-6988 |
| language | English |
| last_indexed | 2024-12-12T06:50:16Z |
| publishDate | 2022-06-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | AIMS Mathematics |
| spelling | doaj.art-bc46781554fd4af6bed3345483fcb70f2022-12-22T00:34:05ZengAIMS PressAIMS Mathematics2473-69882022-06-0178152341525710.3934/math.2022835Fejér type inequalities for harmonically convex functionsMuhammad Amer Latif 0Department of Basic Sciences, Deanship of Preparatory Year, King Faisal University, Hofuf 31982, Al-Hasa, Saudi ArabiaIn this study, some mappings related to the Fejér-type inequalities for harmonically convex functions are defined over [0,1]. Some Fejér-type inequalities for harmonically convex functions are proved using these mappings. Properties of these mappings are considered and consequently, refinements are obtained of some known results.https://www.aimspress.com/article/doi/10.3934/math.2022835?viewType=HTMLhermite-hadamard inequalityconvex functionharmonic convex functionfejér inequality |
| spellingShingle | Muhammad Amer Latif Fejér type inequalities for harmonically convex functions AIMS Mathematics hermite-hadamard inequality convex function harmonic convex function fejér inequality |
| title | Fejér type inequalities for harmonically convex functions |
| title_full | Fejér type inequalities for harmonically convex functions |
| title_fullStr | Fejér type inequalities for harmonically convex functions |
| title_full_unstemmed | Fejér type inequalities for harmonically convex functions |
| title_short | Fejér type inequalities for harmonically convex functions |
| title_sort | fejer type inequalities for harmonically convex functions |
| topic | hermite-hadamard inequality convex function harmonic convex function fejér inequality |
| url | https://www.aimspress.com/article/doi/10.3934/math.2022835?viewType=HTML |
| work_keys_str_mv | AT muhammadamerlatif fejertypeinequalitiesforharmonicallyconvexfunctions |