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.

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Journal

Preprint

Publisher Name

“Babes-Bolyai” University Cluj-Napoca, Romania

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MR # 87h: 46068

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[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.
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[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

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