ON INEQUALITIES OF SIMPSON?S TYPE FOR CONVEX FUNCTIONS VIA GENERALIZED FRACTIONAL INTEGRALS

被引：1

作者：

Kara, Hasan ^{[1
]}

Budak, Huseyin ^{[1
]}

Ali, Muhammad Aamir ^{[2
]}

Hezenci, Fatih ^{[1
]}

机构：

[1] Duzce Univ, Fac Sci & Arts, Dept Math, Duzce, Turkey

[2] Nanjing Normal Univ, Sch Math Sci, Jiangsu Key Lab NSLSCS, Nanjing, Peoples R China

来源：

COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS | 2022年 / 71卷 / 03期

关键词：

Simpson type inequalities; convex function; generalized fractional integrals;

D O I：

10.31801/cfsuasmas.1004300

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Fractional calculus and applications have application areas in many different fields such as physics, chemistry, and engineering as well as mathemat-ics. The application of arithmetic carried out in classical analysis in fractional analysis is very important in terms of obtaining more realistic results in the solution of many problems. In this study, we prove an identity involving gen-eralized fractional integrals by using differentiable functions. By utilizing this identity, we obtain several Simpson's type inequalities for the functions whose derivatives in absolute value are convex. Finally, we present some new results as the special cases of our main results.

引用

页码：806 / 825

页数：20

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