On the extension of Hölder functions

Abstract

Authors

Costica Mustata
“Tiberiu Popoviciu” Institute of Numerical Analysis, Romanian Academy, Romania

Keywords

?

Paper coordinates

C. Mustăţa, On the extension of Hölder functions, Seminar of Functional Analysis and Numerical Methods, Preprint no. 1 (1985), 85-92.

PDF

??

About this paper

Journal

Preprint

Publisher Name

“Babes-Bolyai” University Cluj-Napoca, Romania

DOI
Print ISSN
Online ISSN

MR # 87h: 46068

google scholar link

[1] Aronsson, G., Extension of functions satisfying Lipschitz conditions, Arkiv for Mathematik 6 (1967), 551-561.
[2] Czipser, J., Geher, I., Extension of functions satisfying a Lipschitz condition, Acta Math., Sci. Hungar 6 (1955), 213-220.
[3] Danzer, L., Grunbaum, B., Klee, V., Helly’s theorem and its relatives, Proc. Sympos. Pure Mathemm. 7, Amar. Math. Soc., Providence, R.I. (1963), 101-180.
[4] Fiett, T.M., Extension of Lipschitz functions, J. London Math. Soc., 7 (1974), 604-608.
[5] Grunbaum, B., A generalization of Theorems of Kirszbraum and Minty, Proc. Amer. Math. Soc., 13 (1962), 812-814.
[6] Hiriart-Urruti, J.B., Extension of Lipschitz functions, Preprint 1980, (23 pp.).
[7] Mustata, C., Best Approximation and Unique Extension of Lipschitz Functions, Journal of Approx. Theory 19, 3 (1977), 222-230.
[8] Mustata, C., Cobzas, S., Norm Preserving Extension of Convex Lipschitz Functions, Journal of Approx. Theory 24, 3 (1978), 236-244.
[9] Mustata, C., About the determination of extrema of a  Holder funcitons, Seminar of Funct. Anal. Numerical Methods, Babes-Bolyai University, Fac. of Math. Preprint Nr.1 (1983), 107-116.
[10] Mustata, C., Asupra unicității prelungirii funcțiilor Holder reale, Seminarul itinerant de Ecuații Funcționale, aproximare și Convexitate, Cluj-Napoca, 1980.
[11] Minty, G.J., On the extension of Lipschitz, Lipschitz-Holder continuous, and monotone functions, Bull. Amer. Math. Soc. 76 (1970), 334-339.
[12] Schonbeck, S.O., Extension of nonlinear contractions, Bull. Amer. Math. Soc. 72 (1966), 99-101.
[13] Schonbeck, S.O., On the extension of Lipschitz maps, Arkiv for Mathematik 7 (1967-1969), 201-209.
[14] McShane, E.J., Extension of range of functions, Bull. Amer. Math. Soc., 40 (1934),, 837-842.

1985

Related Posts