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Some unified bounds for exponentially $tgs$-convex functions governed by conformable fractional operators
- Source :
- AIMS Mathematics, Vol 5, Iss 6, Pp 6108-6123 (2020)
- Publication Year :
- 2020
- Publisher :
- AIMS Press, 2020.
-
Abstract
- In the article, we introduce the concept of the exponentially $tgs$-convex function and discover two new conformable fractional integral identities concerning the first-order differentiable convex mappings. By using these identities, we establish several new right-sided Hermite-Hadamard type inequalities for the exponentially $tgs$-convex functions via conformable fractional integrals. Our outcomes for conformable fractional integral operators are also applied to some special means.
- Subjects :
- exponentially $tgs$-convex function
Pure mathematics
hermite-hadamard inequality
General Mathematics
lcsh:Mathematics
Regular polygon
Function (mathematics)
conformable fractional integral operator
Conformable matrix
Type (model theory)
lcsh:QA1-939
Exponential growth
Hermite–Hadamard inequality
integral inequality
Differentiable function
Convex function
Mathematics
Subjects
Details
- Language :
- English
- ISSN :
- 24736988
- Volume :
- 5
- Issue :
- 6
- Database :
- OpenAIRE
- Journal :
- AIMS Mathematics
- Accession number :
- edsair.doi.dedup.....e65e8ba3c284f156f135c5dbb16f64b0
- Full Text :
- https://doi.org/10.3934/math.2020392/fulltext.html