Advancements in corrected Euler-Maclaurin-type inequalities via conformable fractional integrals

被引：0

作者：

Acar, Yaren ^{[1
]}

Budak, Huseyin ^{[1
]}

Bas, Umut ^{[2
]}

Hezenci, Fatih ^{[1
]}

Yildirim, Huseyin ^{[2
]}

机构：

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

[2] Kahramanmaras Sutcu Imam Unyversyty, Fac Sci & Arts, Dept Math, TR-46100 Kahramanmaras, Turkiye

来源：

BOUNDARY VALUE PROBLEMS | 2025年 / 2025卷 / 01期

关键词：

Quadrature formulae; Corrected Maclaurin's formula; Fractional calculus; Conformable fractional integrals;

D O I：

10.1186/s13661-024-01990-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this research article, equality is proved to obtain corrected Euler-Maclaurin-type inequalities. Using this identity, we establish several corrected Euler-Maclaurin-type inequalities for the case of differentiable convex functions by means of conformable fractional integrals. Moreover, some corrected Euler-Maclaurin-type inequalities are given for bounded functions by fractional integrals. Additionally, fractional corrected Euler-Maclaurin-type inequalities are constructed for Lipschitzian functions. Finally, corrected Euler-Maclaurin-type inequalities are considered by fractional integrals of bounded variation.

引用

页数：30

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