ON RESULTS OF MIDPOINT-TYPE INEQUALITIES FOR CONFORMABLE FRACTIONAL OPERATORS WITH TWICE-DIFFERENTIABLE FUNCTIONS

被引：0

作者：

Hezenci, Fatih ^{[1
]}

Budak, Huseyin ^{[1
]}

机构：

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

来源：

HONAM MATHEMATICAL JOURNAL | 2023年 / 45卷 / 02期

关键词：

midpoint-type inequality; fractional conformable integrals; fractional conformable derivatives; fractional calculus; convex function; HERMITE-HADAMARD; REAL NUMBERS; INTEGRALS; MAPPINGS;

D O I：

10.5831/HMJ.2023.45.2.340

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This article establishes an equality for the case of twice -differentiable convex functions with respect to the conformable fractional integrals. With the help of this identity, we prove sundry midpoint -type inequalities by twice-differentiable convex functions according to conformable fractional integrals. Several important inequalities are ob-tained by taking advantage of the convexity, the Hodlder inequality, and the power mean inequality. Using the specific selection of our results, we obtain several new and well-known results in the literature.

引用

页码：340 / 358

页数：19

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