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Applications of de Rham theorem in approximate midconvexity.
- Source :
- Journal of Difference Equations & Applications; Mar2012, Vol. 18 Issue 3, p335-344, 10p
- Publication Year :
- 2012
-
Abstract
- Let X be a normed space, V be an open convex subset of X and let be a given function. A function is called -midconvex if By the result of Tabor and Tabor, we know that under respective conditions on , if f is -midconvex and locally bounded above at a point then there exists a continuous function such that In this paper we determine the smallest function satisfying the above inequality. The required conditions on are such that the functions , satisfy them. As the main tool we use de Rham theorem. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 10236198
- Volume :
- 18
- Issue :
- 3
- Database :
- Complementary Index
- Journal :
- Journal of Difference Equations & Applications
- Publication Type :
- Academic Journal
- Accession number :
- 73326735
- Full Text :
- https://doi.org/10.1080/10236190903156283