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Extensions and improvements of Sherman’s and related inequalities for n-convex functions
- Source :
- Open Mathematics, Vol 15, Iss 1, Pp 936-947 (2017)
- Publication Year :
- 2017
- Publisher :
- De Gruyter, 2017.
-
Abstract
- This paper gives extensions and improvements of Sherman’s inequality for n-convex functions obtained by using new identities which involve Green’s functions and Fink’s identity. Moreover, extensions and improvements of Majorization inequality as well as Jensen’s inequality are obtained as direct consequences. New inequalities between geometric, logarithmic and arithmetic means are also established.
Details
- Language :
- English
- ISSN :
- 23915455
- Volume :
- 15
- Issue :
- 1
- Database :
- Directory of Open Access Journals
- Journal :
- Open Mathematics
- Publication Type :
- Academic Journal
- Accession number :
- edsdoj.83edfe2eb622458bacef75523be06bc5
- Document Type :
- article
- Full Text :
- https://doi.org/10.1515/math-2017-0077