Best L1-approximation by generalized convex functions
نویسندگان
چکیده
منابع مشابه
Best approximation by integer-valued functions
Given an integer function f , the problem is to find its best uniform approximation from a set K of integervalued bounded functions. Under certain conditions on K , the best extremal (maximal or minimal) approximation is identified. Furthermore, the operator mapping f to its extremal best approximation is shown to be Lipschitzian with some constant C or optimal Lipschitzian having the smallest ...
متن کاملFuzzy Best Simultaneous Approximation of a Finite Numbers of Functions
Fuzzy best simultaneous approximation of a finite number of functions is considered. For this purpose, a fuzzy norm on $Cleft (X, Y right )$ and its fuzzy dual space and also the set of subgradients of a fuzzy norm are introduced. Necessary case of a proved theorem about characterization of simultaneous approximation will be extended to the fuzzy case.
متن کاملBest approximation by closed unit balls
We obtain a sucint and nesessery theoreoms simple for compactness andweakly compactness of the best approximate sets by closed unit balls. Also weconsider relations Kadec-Klee property and shur property with this objects.These theorems are extend of papers mohebi and Narayana.
متن کاملBest Approximation under a Convex Paranorm
We introduce the q-paranorm, investigate some of its properties. We further give an algorithm which constructs the best linear approximations under the q-paranorm.
متن کاملExtremal Positive Splines with Applications to Interpolation and Approximation by Generalized Convex Functions
F(s, t) = wn(s)w0(t) dtiw^) dt2w2(t2) • • • </*„__!*„_!(*„_!). Jt Jtl Jtn-2 A fundamental solution for L is given by G(s, t) = F(s, t) for s ^ t, G(s, t) = 0 for s < t. A fundamental solution for L* is GJs, i) = G(t, s). To avoid cumbersome formulations results are stated for n ^ 2 (in which case G is continuous), unless indicated otherwise. By SR(T) we mean the collection of Radon measures on ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Approximation Theory
سال: 1989
ISSN: 0021-9045
DOI: 10.1016/0021-9045(89)90164-0