Universally polygonally approximable functions

• Autorzy: Evans. M. J. , Humke, P. D. , O`Malley, R. J.
• Języki publikacji: EN

Abstrakty

EN

It has recently been established that any Baire class one function f : [0,1] -> R can be represented as the pointwise limit of a sequence of polygonal functions whose vertices lie on the graph of f. Here we investigate the subclass of Baire class one functions having the additional property that for every dense subset D of [0,1], the first coordinates of the vertices of the polygonal functions can be chosen from D.

Słowa kluczowe

PL

Baire 1; quasi-ciągłość; przybliżenie wielokątne

EN

Baire 1; quasicontinuous; polygonal approximation

• Czasopismo: Journal of Applied Analysis
• Rocznik: 2000
• Tom: Vol. 6, nr 1
• Strony: 25-45
• Opis fizyczny: Bibliogr. 11 poz.

Twórcy

autor

Evans. M. J.

autor

Humke, P. D.

autor

O`Malley, R. J.

• Department of Mathematics Washington and Lee University Lexington, Virginia 24450 U.S.A.,