论文标题
在某些通用数字理论功能和ighachanea-akkouchia持有者的不平等现象上
On some generalized number theoretic functions and Ighachanea-Akkouchia Holder's inequalities
论文作者
论文摘要
最近,Ighachanea和Akkouchia \ Cite {0.1}使用了二项式系数,可以得出霍尔德的不平等的一些新细化。然后,这种不等式可以应用于广泛的特殊功能,例如尼尔森的beta函数和一些扩展的伽马功能。在本文中,我们得出了先前已知的数字理论函数的一些概括。此外,根据Ighachanea和Akkouchia的结果,霍德对派生的广义功能的不平等现象得以建立。
Recently, it has been shown by Ighachanea and Akkouchia \cite{0.1} that using binomial coefficients, one can derive some new refinements of Holder's inequalities. This inequalities then can be applied to a wide class of special functions such as the Nielsen's beta function and some extended gamma functions. In this paper, we have derived some generalizations of previously known number theoretic functions. Furthermore, based on the results of Ighachanea and Akkouchia, Holder's inequalities for the derived generalized functions are established.