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http://earsiv.odu.edu.tr:8080/xmlui/handle/11489/3395| Title: | IMPROVEMENTS ON SOME INEQUALITIES OF HERMITE HADAMARD INEQUALITIES FOR FUNCTIONS WHEN A POWER OF THE ABSOLUTE VALUE OF THE SECOND DERIVATIVE h AND P-CONVEX |
| Authors: | Unluyol, Erdal Salas, Seren Dalkun, Gorkem Ordu Üniversitesi 0000-0003-3465-6473 |
| Keywords: | Holder-Iscan integral inequality; improved power-mean integral inequality; Hermite Hadamard integral inequality; h and P-convexity |
| Issue Date: | 2021 |
| Publisher: | TURKIC WORLD MATHEMATICAL SOC BAKU |
| Citation: | Unluyol, E., Salas, S., Dalkun, G. (2021). IMPROVEMENTS ON SOME INEQUALITIES OF HERMITE HADAMARD INEQUALITIES FOR FUNCTIONS WHEN A POWER OF THE ABSOLUTE VALUE OF THE SECOND DERIVATIVE h AND P-CONVEX. Twms Journal of Applied and Engineering Mathematics, 11(1), 89-100. |
| Abstract: | In this paper, firstly we obtain some improvements of Hermite-Hadamard integral inequalities via h and P-convex by using Holder-Iscan inequality. Secondly new results are established. Thirdly, we determine some new inequalities for functions when a power of the absolute value of second derivatives are h and P-convex. Finally they are compared with the old ones. |
| Description: | WoS Categories : Mathematics, Applied Web of Science Index : Emerging Sources Citation Index (ESCI) Research Areas : Mathematics |
| URI: | https://www.webofscience.com/wos/woscc/full-record/WOS:000605091900009 http://earsiv.odu.edu.tr:8080/xmlui/handle/11489/3395 |
| ISBN: | 2146-1147 |
| Appears in Collections: | Matematik |
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