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Semi P-function and some new related inequalities | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقالات آماده انتشار، اصلاح شده برای چاپ، انتشار آنلاین از تاریخ 11 اسفند 1403 اصل مقاله (399.71 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2023.30726.4474 | ||
| نویسندگان | ||
| Mahir Kadakal* 1؛ İmdat İşcan2؛ Huriye Kadakal3 | ||
| 1Bayburt University, Faculty of Applied Sciences, Department of Customs Management, Baberti Campus, 69000, Bayburt, TÜRKİYE | ||
| 2Department of Mathematics, Sciences and Arts Faculty, Giresun University, 28100, Giresun, TÜRKİYE | ||
| 3Bayburt University, Faculty of Education, Department of Primary Education, Campus Baberti, 69000-Bayburt, Turkey | ||
| تاریخ دریافت: 02 خرداد 1402، تاریخ بازنگری: 31 شهریور 1402، تاریخ پذیرش: 28 مهر 1402 | ||
| چکیده | ||
| In this manuscript, we introduce and study the concept of semi P-functions and their some algebraic properties. Also, we compare the results obtained with both Hölder, Hölder-İşcan inequalities and power-mean, improved-power mean integral inequalities and show that the result obtained with Hölder-İşcan and improved power-mean inequalities give a better approach than the others. Some applications to special means of real numbers are also given. | ||
| کلیدواژه‌ها | ||
| Convex function؛ semi P-function؛ Hermite-Hadamard inequality؛ Hölder-İşcan inequality؛ improved power-mean inequality | ||
| مراجع | ||
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