Some Generalized Fractional Integral Inequalities via Harmonic Convex Functions and Their Applications

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作者
Awan, Muhammad Uzair [1 ]
Akhtar, Nousheen [1 ]
Raissouli, Mustapha [2 ]
Kashuri, Artion [3 ]
Javed, Muhammad Zakria [1 ]
Noor, Muhammad Aslam [4 ]
机构
[1] Govt Coll Univ, Dept Math, Faisalabad, Pakistan
[2] Moulay Ismail Univ, Sci Fac, Dept Math, Meknes, Morocco
[3] Univ Ismail Qemali, Fac Tech Sci, Dept Math, Vlora 9400, Albania
[4] COMSATS Univ Islamabad, Dept Math, Islamabad, Pakistan
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T [工业技术];
学科分类号
08 ;
摘要
The aim of this paper is to derive from an auxiliary identity some new generalizations of fractional integral inequalities of Simpson, midpoint, and trapezoid using the class of harmonic convex functions. To show that our results are quite unifying, we discuss several new special cases. Finally, some applications regarding error estimations for the Simpson quadrature formula are presented to support our theoretical results.
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页数:27
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