FRACTIONAL TRAPEZOID AND NEWTON TYPE INEQUALITIES FOR DIFFERENTIABLE S-CONVEX FUNCTIONS

被引：0

作者：

Hezenci, Fatih ^{[1
]}

Budak, Huseyin ^{[1
]}

Ali, Muhammad Aamir ^{[2
]}

机构：

[1] Duzce Univ, Fac Sci & Arts, Dept Math, TR-81620 Duzce, Turkiye

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

来源：

HONAM MATHEMATICAL JOURNAL | 2023年 / 45卷 / 01期

关键词：

~trapezoid inequality; Simpson's a formula; fractional integral operators; s-convex function; HADAMARD-TYPE INEQUALITIES;

D O I：

10.5831/HMJ.2023.45.1.160

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In the present paper, we prove that our main inequality re-duces to some trapezoid and Newton type inequalities for differentiable s-convex functions. These inequalities are established by using the well-known Riemann-Liouville fractional integrals. With the help of special cases of our main results, we also present some new and previously obtained trapezoid and Newton type inequalities.

引用

页码：160 / 183

页数：24

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