Some new refinements of the generalized Holder inequality and applications

	Some new refinements of the generalized Holder inequality and applications
International Journal of Nonlinear Analysis and Applications
مقاله 25، دوره 13، شماره 2، مهر 2022، صفحه 265-276 اصل مقاله (422.98 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22075/ijnaa.2021.20201.2134
نویسندگان
Mohamed Amine Ighachane^* ؛ Mohamed Akkouchi
Department of Mathematics, Faculty of Sciences-Semlalia, University Cadi Ayyad, Av. Prince My. Abdellah, BP: 2390, Marrakesh (40.000-Marrakech), Morocco
چکیده
The main goal of this article is to present some new refinements of the generalized classical Holder's inequality. As applications, we present some refinements to several inequalities for the $(q,s)$-Polygamma functions, the $s$-Extension of Nielsen's $\beta$-function, the derivatives of the $s$-Extension of Nielsen's $\beta$-function, the extended Gamma function, the $r$-Gamma functions and the $r$-Riemann Zeta function.
کلیدواژه‌ها
Generalized Holder's inequality؛ (q,k)-Polygamma Functions؛ Nielsen’s beta-function؛ Gamma function؛ zeta function
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