Novel inequalities involving exponentially (α, m)-convex function and fractional integrals

被引:0
|
作者
Latif, Muhammad [1 ]
Nosheen, Ammara [2 ]
Ali Khan, Khuram [2 ]
Bisma Ammara, Hafiza [2 ]
Sene, Ndolane [3 ]
Hamed, Y. S. [4 ]
机构
[1] Govt Post Grad Coll Mandi Bahauddin, Mandi Bahauddin, Punjab, Pakistan
[2] Univ Sargodha, Dept Math, Sargodha, Pakistan
[3] Cheikh Anta Diop Univ, Inst Polit Publ, Sect Math & Stat, Dakar, Senegal
[4] Taif Univ, Coll Sci, Dept Math & Stat, Taif, Saudi Arabia
来源
关键词
Integral inequalities; convex functions; Riemann-Liouville fractional integral; H & ouml; lder inequality; power-mean inequality; HERMITE-HADAMARD-TYPE;
D O I
10.1080/27690911.2024.2422993
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
In this paper, an identity involving Riemann-Liouville fractional integrals is newly produced. Some new extensions of integral inequalities are proved with the help of H & ouml;lder, power-mean integral inequalities and newly established identity. Whereas, the absolute values of first derivatives of real valued functions, which are appeared in these inequalities, are exponentially ( $ \alpha,m) $ alpha,m)-convex. Some special cases are discussed and graphical evidences are presented for validity of proved results.
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页数:17
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