Some new refinements of the generalized Holder inequality and applications

نویسندگان
Ighachane, Mohamed Amine ID 1
Akkouchi, Mohamed ID 2

1 Department of Mathematics, Faculty of Sciences-Semlalia, University Cadi Ayyad, Av. Prince My. Abdellah, BP: 2390, Marrakesh (40.000-Marrakech), Morocco

2 Department of Mathematics, Faculty of Sciences-Semlalia, University Cadi Ayyad, Av. Prince My. Abdellah, BP: 2390, Marrakesh (40.000-Marrakech), Morocco

doi
10.22075/ijnaa.2021.20201.2134
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