Hermite–Hadamard Type Inequalities via Generalized Harmonic Exponential Convexity and Applications
In this work, we introduce the idea and concept of m–polynomial p–harmonic exponential type convex functions. In addition, we elaborate the newly introduced idea by examples and some interesting algebraic properties. As a result, several new integral inequalities are established. Finally, we investi...
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2021-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2021/5533491 |
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| _version_ | 1832551326322524160 |
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| author | Saad Ihsan Butt Muhammad Tariq Adnan Aslam Hijaz Ahmad Taher A. Nofal |
| author_facet | Saad Ihsan Butt Muhammad Tariq Adnan Aslam Hijaz Ahmad Taher A. Nofal |
| author_sort | Saad Ihsan Butt |
| collection | DOAJ |
| description | In this work, we introduce the idea and concept of m–polynomial p–harmonic exponential type convex functions. In addition, we elaborate the newly introduced idea by examples and some interesting algebraic properties. As a result, several new integral inequalities are established. Finally, we investigate some applications for means. The amazing techniques and wonderful ideas of this work may excite and motivate for further activities and research in the different areas of science. |
| format | Article |
| id | doaj-art-86dace659d1b471182f475e9bba8bbf0 |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-86dace659d1b471182f475e9bba8bbf02025-02-03T06:01:48ZengWileyJournal of Function Spaces2314-88962314-88882021-01-01202110.1155/2021/55334915533491Hermite–Hadamard Type Inequalities via Generalized Harmonic Exponential Convexity and ApplicationsSaad Ihsan Butt0Muhammad Tariq1Adnan Aslam2Hijaz Ahmad3Taher A. Nofal4COMSATS University Islamabad, Lahore Campus, PakistanCOMSATS University Islamabad, Lahore Campus, PakistanDepartment of Natural Sciences and Humanities, University of Engineering and Technology, Lahore (RCET), PakistanDepartment of Basic Sciences, University of Engineering and Technology, Peshawar, PakistanDepartment of Mathematic, College of Science, Taif University, P.O. Box 11099, Taif 21944, Saudi ArabiaIn this work, we introduce the idea and concept of m–polynomial p–harmonic exponential type convex functions. In addition, we elaborate the newly introduced idea by examples and some interesting algebraic properties. As a result, several new integral inequalities are established. Finally, we investigate some applications for means. The amazing techniques and wonderful ideas of this work may excite and motivate for further activities and research in the different areas of science.http://dx.doi.org/10.1155/2021/5533491 |
| spellingShingle | Saad Ihsan Butt Muhammad Tariq Adnan Aslam Hijaz Ahmad Taher A. Nofal Hermite–Hadamard Type Inequalities via Generalized Harmonic Exponential Convexity and Applications Journal of Function Spaces |
| title | Hermite–Hadamard Type Inequalities via Generalized Harmonic Exponential Convexity and Applications |
| title_full | Hermite–Hadamard Type Inequalities via Generalized Harmonic Exponential Convexity and Applications |
| title_fullStr | Hermite–Hadamard Type Inequalities via Generalized Harmonic Exponential Convexity and Applications |
| title_full_unstemmed | Hermite–Hadamard Type Inequalities via Generalized Harmonic Exponential Convexity and Applications |
| title_short | Hermite–Hadamard Type Inequalities via Generalized Harmonic Exponential Convexity and Applications |
| title_sort | hermite hadamard type inequalities via generalized harmonic exponential convexity and applications |
| url | http://dx.doi.org/10.1155/2021/5533491 |
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