Semi P-function and some new related inequalities

	Semi P-function and some new related inequalities
International Journal of Nonlinear Analysis and Applications
مقاله 15، دوره 17، شماره 1، فروردین 2026، صفحه 183-192 اصل مقاله (393.62 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
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
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