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
收藏
页码：49 / 64
页数：16
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