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Approximately convex functions and approximately monotonic operators

โœ Scribed by Huynh Van Ngai; Jean-Paul Penot


Publisher
Elsevier Science
Year
2007
Tongue
English
Weight
280 KB
Volume
66
Category
Article
ISSN
0362-546X

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Extremal Approximately Convex Functions
โœ S.J. Dilworth; Ralph Howard; James W. Roberts ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 540 KB

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

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โœ Kirill A. Kopotun ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 259 KB

It is shown that an algebraic polynomial of degree k&1 which interpolates a k-monotone function f at k points, sufficiently approximates it, even if the points of interpolation are close to each other. It is well known that this result is not true in general for non-k-monotone functions. As an appli