A NEW VERSION OF NEWTON'S INEQUALITIES FOR RIEMANN-LIOUVILLE FRACTIONAL INTEGRALS

被引：16

作者：

Hezenci, Fati ^{[1
]}

Budak, Huseyin ^{[1
]}

Kösem, Pinar ^{[1
]}

机构：

[1] Duzce Univ, Dept Math, Duzce, Turkiye

来源：

ROCKY MOUNTAIN JOURNAL OF MATHEMATICS | 2023年 / 53卷 / 01期

关键词：

Simpson's 3 8 formula; fractional calculus; convex functions; HADAMARD-TYPE INEQUALITIES; CONVEX-FUNCTIONS; SIMPSONS TYPE;

D O I：

10.1216/rmj.2023.53.49

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We establish some Newton's type inequalities in the case of differentiable convex functions through the well-known Riemann-Liouville fractional integrals. Furthermore, we give an example with graph and present the validity of the newly obtained inequalities. Finally, we give some inequalities of Riemann-Liouville fractional Newton's type for functions of bounded variation.

引用

页码：49 / 64

页数：16

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