𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Best Uniform Convex Approximation on a Compact Convex Set

✍ Scribed by J.T. Chan


Publisher
Elsevier Science
Year
1994
Tongue
English
Weight
183 KB
Volume
183
Category
Article
ISSN
0022-247X

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


Best Approximation on Convex Sets in Met
✍ G. C. Ahuja; T. D. Narang; Swaran Trehan πŸ“‚ Article πŸ“… 1977 πŸ› John Wiley and Sons 🌐 English βš– 256 KB

## Abstract In this paper the concepts of strictly convex and uniformly convex normed linear spaces are extended to metric linear spaces. A relationship between strict convexity and uniform convexity is established. Some existence and uniqueness theorems on best approximation in metric linear space

Compactness and Convexity on the Space o
✍ Yun Kyong Kim πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 99 KB

In this paper, a criterion for which the convex hull of is relatively compact is given when is a relatively compact subset of the space R p of fuzzy sets endowed with the Skorokhod topology. Also, some examples are given to illustrate the criterion.

A Note on Convex Approximation in Lp
✍ M. Nikoltjevahedberg; V. Operstein πŸ“‚ Article πŸ“… 1995 πŸ› Elsevier Science 🌐 English βš– 116 KB

A convex function \(f\) given on \([-1,1]\) can be approximated in \(L_{r}, 1<p<x\). by convex polynomials \(P_{n}\) of degree at most \(n\) with the accuracy \(o\left(n^{-2 i p}\right)\). This follows from the estimate \(\left\|f-P_{n}\right\|_{p} \leqslant c \cdot n^{-2 / p} \cdot \omega_{2}^{\var

Mountain Pass on a Closed Convex Set
✍ Li Ma πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 115 KB

A mountain pass lemma without the Palais᎐Smale condition on a closed convex subset of a Banach space is established. Then, we apply it to a semilinear elliptic partial differential equation to obtain one negative solution and a positive solution. Hence we generalize an early result of K.

Extremal Approximately Convex Functions
✍ S.J. Dilworth; Ralph Howard; James W. Roberts πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 257 KB

Let n51 and B52: A real-valued function f defined on the n-simplex D n is approximately convex with respect to We determine the extremal function of this type which vanishes on the vertices of D n : We also prove a stability theorem of Hyers-Ulam type which yields as a special case the best constan