Remote Access Proceedings of the American Mathematical Society
Green Open Access

Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

Approximately convex average sums of unbounded sets


Author: M. Ali Khan
Journal: Proc. Amer. Math. Soc. 43 (1974), 181-185
MSC: Primary 52A20; Secondary 02H25, 90A99
DOI: https://doi.org/10.1090/S0002-9939-1974-0338928-8
MathSciNet review: 0338928
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: In this note we show that the average sum of a large but finite number of unbounded and open sets is approximately convex if their ``degree of nonconvexity'' is bounded.


References [Enhancements On Off] (What's this?)


Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC: 52A20, 02H25, 90A99

Retrieve articles in all journals with MSC: 52A20, 02H25, 90A99


Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1974-0338928-8
Keywords: Average sum, convex sets, unbounded, degree of nonconvexity
Article copyright: © Copyright 1974 American Mathematical Society