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Hermite-Hadamard inequality for fractional integrals of Caputo-Fabrizio type and related inequalities
- Source :
- Journal of Inequalities and Applications, Vol 2020, Iss 1, Pp 1-10 (2020)
- Publication Year :
- 2020
- Publisher :
- Springer, 2020.
-
Abstract
- In this article, firstly, Hermite–Hadamard’s inequality is generalized via a fractional integral operator associated with the Caputo–Fabrizio fractional derivative. Then a new kernel is obtained and a new theorem valid for convex functions is proved for fractional order integrals. Also, some applications of our main findings are given.
- Subjects :
- Pure mathematics
Inequality
media_common.quotation_subject
Mathematics::Classical Analysis and ODEs
Type (model theory)
01 natural sciences
Convexity
Operator (computer programming)
Hermite–Hadamard inequality
0103 physical sciences
Discrete Mathematics and Combinatorics
Order (group theory)
0101 mathematics
010306 general physics
Mathematics
media_common
Caputo-Fabrizio Fractional integral
Applied Mathematics
lcsh:Mathematics
Caputo–Fabrizio Fractional integral
lcsh:QA1-939
Fractional calculus
010101 applied mathematics
Kernel (algebra)
Convex function
Analysis
Subjects
Details
- Language :
- English
- Database :
- OpenAIRE
- Journal :
- Journal of Inequalities and Applications, Vol 2020, Iss 1, Pp 1-10 (2020)
- Accession number :
- edsair.doi.dedup.....f3768a86669d691b7f022b01854da045