Midconvex functions in locally compact groups-Reference-Cited by-同舟云学术

Midconvex functions in locally compact groups

Published:1999-06-17 Issue:10 Volume:127 Page:2961-2968
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Chademan A.,Mirzapour F.

Abstract

The theorems of Bernstein-Doetsch, and Ostrowski, concerning the continuity of midconvex functions are extended to open subsets of locally compact and root-approximable topological groups.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1999-127-10/S0002-9939-99-04907-2/S0002-9939-99-04907-2.pdf

Reference20 articles.

1. [1] F. Bernstein and G. Doetsch, Zur Theorie der Konvexen Funktionen, Math. Ann. 76 (1915), 514-526.

2. [2] H. Blumberg, On convex functions, Trans. Amer. Math. Soc. 20 (1919), 40-44.

3. [4] N. Bourbaki, Espaces vectoriels topologiques, chap. 1 et 2, 2-ième éd. (Actualités Scientifiques et Industrielles no. 1198), Hermann, Paris, (1966).

4. [5] A. Chademan, Sur les notions élémentaires de la théorie spectrale, Thèse de Doctorat 3-ième cycle, Univ. Paris VI, 1970.

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