A Refinement of the Integral Jensen Inequality Pertaining Certain Functions with Applications

被引：0
|
作者：
Sayed, Zaid Mohammed Mohammed Mahdi [1 ,2 ]
Khan, Muhammad Adil [2 ]
Khan, Shahid [2 ]
Pecaric, Josip [3 ]
机构：
[1] Univ Saadah, Dept Math, Saadah 1872, Yemen
[2] Univ Peshawar, Dept Math, Peshawar 25000, Pakistan
[3] Croatian Acad Sci & Arts, Dept Math Phys & Chem Sci, Zrinski Trg 11, Zagreb 10000, Croatia
来源：
JOURNAL OF FUNCTION SPACES | 2022年 / 2022卷
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中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we present a new refinement of the integral Jensen inequality by utilizing certain functions and give its applications to various means. We utilize the refinement to obtain some new refinements of the Hermite-Hadamard and Holder's inequalities as well. Also, we present its applications in information theory. At the end of this paper, we give a more general form of the proposed refinement of the Jensen inequality, associated to several functions.
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页数：11
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