Trapezoidal Type Fejér Inequalities Related to Harmonically Convex Functions and Application
Some authors introduced the concepts of the harmonically arithmetic convex functions and establish some integral inequalities of Hermite Hadamard Fejér type related to the harmonically arithmetic convex functions. In this paper, a mapping M(t) is considered to get some preliminary results and a new...
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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/10.1155/2019/9508625 |
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| _version_ | 1832552494747615232 |
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| author | Sercan Turhan |
| author_facet | Sercan Turhan |
| author_sort | Sercan Turhan |
| collection | DOAJ |
| description | Some authors introduced the concepts of the harmonically arithmetic convex functions and establish some integral inequalities of Hermite Hadamard Fejér type related to the harmonically arithmetic convex functions. In this paper, a mapping M(t) is considered to get some preliminary results and a new trapezoidal form of Fejér inequality related to the harmonically arithmetic convex functions. By using a mapping M(t), the new theorems and corollaries are obtained. Taking advantage of these, applications were given for some real number averages. |
| format | Article |
| id | doaj-art-48f63f2fb3754d0fb2c43befdc009e9a |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2019-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-48f63f2fb3754d0fb2c43befdc009e9a2025-02-03T05:58:35ZengWileyJournal of Function Spaces2314-88962314-88882019-01-01201910.1155/2019/95086259508625Trapezoidal Type Fejér Inequalities Related to Harmonically Convex Functions and ApplicationSercan Turhan0Department of Mathematics, Faculty of Arts and Sciences, Giresun University, 28100, Giresun, TurkeySome authors introduced the concepts of the harmonically arithmetic convex functions and establish some integral inequalities of Hermite Hadamard Fejér type related to the harmonically arithmetic convex functions. In this paper, a mapping M(t) is considered to get some preliminary results and a new trapezoidal form of Fejér inequality related to the harmonically arithmetic convex functions. By using a mapping M(t), the new theorems and corollaries are obtained. Taking advantage of these, applications were given for some real number averages.http://dx.doi.org/10.1155/2019/9508625 |
| spellingShingle | Sercan Turhan Trapezoidal Type Fejér Inequalities Related to Harmonically Convex Functions and Application Journal of Function Spaces |
| title | Trapezoidal Type Fejér Inequalities Related to Harmonically Convex Functions and Application |
| title_full | Trapezoidal Type Fejér Inequalities Related to Harmonically Convex Functions and Application |
| title_fullStr | Trapezoidal Type Fejér Inequalities Related to Harmonically Convex Functions and Application |
| title_full_unstemmed | Trapezoidal Type Fejér Inequalities Related to Harmonically Convex Functions and Application |
| title_short | Trapezoidal Type Fejér Inequalities Related to Harmonically Convex Functions and Application |
| title_sort | trapezoidal type fejer inequalities related to harmonically convex functions and application |
| url | http://dx.doi.org/10.1155/2019/9508625 |
| work_keys_str_mv | AT sercanturhan trapezoidaltypefejerinequalitiesrelatedtoharmonicallyconvexfunctionsandapplication |