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The Hermite-Hadamard inequality for s-Convex functions in the third sense
- Source :
- AIMS Mathematics, Vol 6, Iss 7, Pp 7719-7732 (2021)
- Publication Year :
- 2021
- Publisher :
- AIMS Press, 2021.
-
Abstract
- In this paper, the Hermite-Hadamard inequality for $ s $-convex functions in the third sense is provided. In addition, some integral inequalities for them are presented. Also, the new functions based on the integral and double integral of $ s $-convex functions in the third sense are defined and under certain conditions, the third sense $ s $-convexity of these functions are shown and some inequality relations for these are expressed.
- Subjects :
- convex function
Pure mathematics
convex set
Inequality
hermite-hadamard inequality
General Mathematics
media_common.quotation_subject
Multiple integral
Convex set
Sense (electronics)
Computer Science::Graphics
Hermite–Hadamard inequality
QA1-939
s-convex function in the third sense
Convex function
Mathematics
media_common
Subjects
Details
- Language :
- English
- ISSN :
- 24736988
- Volume :
- 6
- Issue :
- 7
- Database :
- OpenAIRE
- Journal :
- AIMS Mathematics
- Accession number :
- edsair.doi.dedup.....9c50f92c0f1db953e1118564e32a6594
- Full Text :
- https://doi.org/10.3934/math.2021448?viewType=HTML