A real-valued function f defined on a convex set K is an approximately convex function iff it satisfies A thorough study of approximately convex functions is made. The principal results are a sharp universal upper bound for lower semi-continuous approximately convex functions that vanish on the ver
β¦ LIBER β¦
Uniform Estimates of Monotone and Convex Approximation of Smooth Functions
β Scribed by K.A. Kopotun
- Publisher
- Elsevier Science
- Year
- 1995
- Tongue
- English
- Weight
- 852 KB
- Volume
- 80
- Category
- Article
- ISSN
- 0021-9045
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## Abstract A real locally convex space is said to be __convenient__ if it is separated, bornological and Mackeyβcomplete. These spaces serve as underlying objects for a whole theory of differentiation and integration (see [4]) upon which infinite dimensional differential geometry is based (cf. [8]