Some novel inequalities for Caputo Fabrizio fractional integrals involving (α,s)-convex functions with applications

被引:2
作者
Fahad, Asfand [1 ,2 ]
Nosheen, Ammara [3 ]
Khan, Khuram Ali [3 ]
Tariq, Maria [4 ]
Mabela, Rostin Matendo [5 ]
Alzaidi, Ahmed S. M. [6 ]
机构
[1] Zhejiang Normal Univ, Sch Math Sci, Jinhua, Peoples R China
[2] Bahauddin Zakariya Univ Multan, Ctr Adv Studies Pure & Appl Math, Multan, Pakistan
[3] Univ Sargodha, Dept Math, Sargodha, Pakistan
[4] Univ Lahore, Dept Math & Stat, Sargodha Campus, Sargodha, Pakistan
[5] Univ Kinshasa, Fac Sci, Dept Maths & Comp Sci, Kinshasa 01015, DEM REP CONGO
[6] Taif Univ, Coll Sci, Dept Math & Stat, Taif, Saudi Arabia
关键词
Convex function; Caputo-Fabrizio integrals; power-mean inequality; HERMITE-HADAMARD-TYPE;
D O I
10.1080/13873954.2023.2301075
中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
Fractional calculus is extremely important and should not be undervalued due to its critical role in the theory of inequalities. In this article, different generalized Hermite-Hadamard type inequalities for functions whose modulus of first derivatives are (alpha,s)-convex are presented, via Caputo-Fabrizio integrals. Graphical justifications of main results are presented. Graphs enable us to support our conclusions and show the reliability of our findings. Additionally, some applications to probability theory and numerical integration are also established. As special cases, certain established outcomes from different articles are recaptured. This study acts as a stimulant for future studies, inspiring researchers to investigate more thorough results by utilizing generalized fractional operators and broadening the idea of convexity.
引用
收藏
页码:1 / 15
页数:15
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