Fractional Weighted Midpoint-Type Inequalities for s-Convex Functions

被引：7

作者：

Nasri, Nassima ^{[1
]}

Aissaoui, Fatima ^{[2
]}

Bouhali, Keltoum ^{[1
,3
]}

Frioui, Assia ^{[2
]}

Meftah, Badreddine ^{[2
]}

Zennir, Khaled ^{[3
]}

Radwan, Taha ^{[3
,4
]}

机构：

[1] Univ 20 Aout 1955, Dept Math, Skikda Bp 26 Route El Hadaiek, Skikda 21000, Algeria

[2] Univ 8 Mai 1945 Guelma, Fac Math Informat & Sci Matiere, Dept Math, Guelma 24000, Algeria

[3] Qassim Univ, Coll Sci & Arts, Dept Math, Ar Rass 51452, Saudi Arabia

[4] Port Said Univ, Fac Management Technol & Informat Syst, Dept Math & Stat, Port Said 42511, Egypt

来源：

SYMMETRY-BASEL | 2023年 / 15卷 / 03期

关键词：

fractional derivatives; weighted integral; midpoint formula; integral inequalities; s-convex functions; DIFFERENTIABLE MAPPINGS; HERMITE;

D O I：

10.3390/sym15030612

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

In the present paper, we first prove a new integral identity. Using that identity, we establish some fractional weighted midpoint-type inequalities for functions whose first derivatives are extended s-convex. Some special cases are discussed. Finally, to prove the effectiveness of our main results, we provide some applications to numerical integration as well as special means.

引用

页数：19

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