On the extension of Hölder functions



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



Paper coordinates

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



About this paper



Publisher Name

“Babes-Bolyai” University Cluj-Napoca, Romania

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.


Related Posts