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
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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.
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- [4] Peter A. Loeb, A combinatorial analog of Lyapunov’s theorem for infinitesimally generated atomic vector measures, Proc. Amer. Math. Soc. 39 (1973), 585–586. MR 316674, https://doi.org/10.1090/S0002-9939-1973-0316674-3
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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
