Hermite–Hadamard Type Inequalities for Interval-Valued Preinvex Functions via Fractional Integral Operators

被引：0
|
作者：
Hari Mohan Srivastava
Soubhagya Kumar Sahoo
Pshtiwan Othman Mohammed
Dumitru Baleanu
Bibhakar Kodamasingh
机构：
[1] University of Victoria,Department of Mathematics and Statistics
[2] China Medical University,Department of Medical Research, China Medical University Hospital
[3] Azerbaijan University,Department of Mathematics and Informatics
[4] International Telematic University Uninettuno,Section of Mathematics
[5] Siksha O Anusandhan University,Department of Mathematics
[6] University of Sulaimani,Department of Mathematics, College of Education
[7] Cankaya University,Department of Mathematics, Faculty of Arts and Sciences
[8] Institute of Space Sciences,undefined
来源：
International Journal of Computational Intelligence Systems | / 15卷
关键词：
H–H inequalities; Preinvex functions; Interval-valued functions; R–L fractional integral; Fractional integral inequalities; 26A51; 26A33; 26D07; 26D10; 26D15;
D O I：
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中图分类号：
学科分类号：
摘要：
In this article, the notion of interval-valued preinvex functions involving the Riemann–Liouville fractional integral is described. By applying this, some new refinements of the Hermite–Hadamard inequality for the fractional integral operator are presented. Some novel special cases of the presented results are discussed as well. Also, some examples are presented to validate our results. The established outcomes of our article may open another direction for different types of integral inequalities for fractional interval-valued functions, fuzzy interval-valued functions, and their associated optimization problems.
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