Some New Estimates for Integral Inequalities and Their Applications

被引：2

作者：

Bayraktar, B. ^{[1
]}

Butt, S. I. ^{[2
]}

Napoles, J. E. ^{[3
,4
]}

Rabossi, F. ^{[4
]}

机构：

[1] Bursa Uludag Univ, Fac Educ, Gorukle Campus, TR-16059 Bursa, Turkiye

[2] COMSATS Univ Islamabad, Lahore Campus, Lahore, Pakistan

[3] UNNE, FaCENA, Corrientes, Argentina

[4] UTN FRRE, Resistencia, Chaco, Argentina

来源：

UKRAINIAN MATHEMATICAL JOURNAL | 2024年 / 76卷 / 02期

关键词：

HERMITE-HADAMARD TYPE; QUASI-CONVEX FUNCTIONS; FRACTIONAL INTEGRALS;

D O I：

10.1007/s11253-024-02315-w

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We obtain several new integral inequalities in terms of fractional integral operators for the functions whose first derivatives satisfy either the conditions of the Lagrange theorem or the Lipschitz condition. In some special cases, the obtained results provide better upper estimates than the results known in the literature for the Bullen-type inequality and the Hadamard-type right-hand side inequality. Finally, some error estimates for the trapezoidal formula are discussed.

引用

页码：169 / 191

页数：23

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