TY - CHAP
T1 - Stability of order preserving transforms
AU - Florentin, Dan
AU - Segal, Alexander
PY - 2012
Y1 - 2012
N2 - The purpose of this paper is to show stability of order preserving/reversing transforms on the class of non-negative convex functions in , and its subclass, the class of non-negative convex functions attaining 0 at the origin (these are called "geometric convex functions"). We show that transforms that satisfy conditions which are weaker than order preserving transforms, are essentially close to the order preserving transforms on the mentioned structures.
AB - The purpose of this paper is to show stability of order preserving/reversing transforms on the class of non-negative convex functions in , and its subclass, the class of non-negative convex functions attaining 0 at the origin (these are called "geometric convex functions"). We show that transforms that satisfy conditions which are weaker than order preserving transforms, are essentially close to the order preserving transforms on the mentioned structures.
UR - http://www.scopus.com/inward/record.url?scp=84865345079&partnerID=8YFLogxK
U2 - 10.1007/978-3-642-29849-3_12
DO - 10.1007/978-3-642-29849-3_12
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AN - SCOPUS:84865345079
SN - 9783642298486
T3 - Lecture Notes in Mathematics
SP - 205
EP - 225
BT - Geometric Aspects of Functional Analysis
PB - Springer Verlag
ER -