On best approximation by truncated series

Best 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.

Best Approximation in TVS

In this paper  we give newresults on the best approximation  in the Hausdorff topological vectorspace and  consider relationship  with orthogonality. Also we determined under  what conditions the map $P_{K,f}$ is upper semicontinous.

best 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.

Some Results on p-Best Approximation in Vector Spaces

On Approximation by L Uroth Series

par Karma DAJANI et Cor KRAAIKAMP R esum e. Pour x 2]0; 1], on note p n =q n la suite des convergents de la s erie de L uroth associ ee, et on d eenit par n = q n x ? p n , n 1 ses coeecients d'approximation. Dans BBDK], on d etermine la fonction de r epartition limite de la suite (n), en utilisant l'extension naturelle du syst eme ergodique sous-jacent au d evelop-pement en s erie de L uroth. ...