Milne-Type inequalities via expanded fractional operators: A comparative study with different types of functions

被引：0
|
作者：
Hyder, Abd-Allah [1 ]
Budak, Huseyin [2 ]
Barakat, Mohamed A. [3 ,4 ]
机构：
[1] King Khalid Univ, Coll Sci, Dept Math, POB 9004, Abha 61413, Saudi Arabia
[2] Duzce Univ, Fac Sci & Arts, Dept Math, Duzce, Turkiye
[3] Univ Tabuk, Coll Al Wajh, Dept Comp Sci, Tabuk, Saudi Arabia
[4] Al Azhar Univ, Fac Sci, Dept Math, Assiut 71524, Egypt
来源：
AIMS MATHEMATICS | 2024年 / 9卷 / 05期
关键词：
fractional integrals; Milne-type inequalities; functions of bounded variation; convex functions; bounded functions; SIMPSONS TYPE;
D O I：
10.3934/math.2024551
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This study focused on deriving Milne-type inequalities using expanded fractional integral operators. We began by establishing a key equality associated with these operators. Using this equality, we explored Milne-type inequalities for functions with convex derivatives, supported by an illustrative example for clarity. Additionally, we investigated Milne-type inequalities for bounded and Lipschitzian functions utilizing fractional expanded integrals. Finally, we extended our exploration to Milne-type inequalities involving functions of bounded variation.
引用
收藏
页码：11228 / 11246
页数：19
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