Editor-in-Chief: Gianazza, Ugo / Vespri, Vincenzo
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IMPACT FACTOR 2016 (Open Mathematics): 0.682
IMPACT FACTOR 2016 (Central European Journal of Mathematics): 0.489
CiteScore 2017: 0.68
SCImago Journal Rank (SJR) 2017: 0.450
Source Normalized Impact per Paper (SNIP) 2017: 0.829
Mathematical Citation Quotient (MCQ) 2016: 0.23
For every metric space (X, d) and origin o ∈ X, we show the inequality I o(x, y) ≤ 2d o(x, y), where I o(x, y) = d(x, y)/d(x, o)d(y, o) is the metric space inversion semimetric, d o is a metric subordinate to I o, and x, y ∈ X \ {o} The constant 2 is best possible.
Keywords: Metric space inversion; Best constant
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Published Online: 2013-03-14
Published in Print: 2013-05-01
Citation Information: Open Mathematics, Volume 11, Issue 5, Pages 865–875, ISSN (Online) 2391-5455, DOI: https://doi.org/10.2478/s11533-013-0213-0.
© 2013 Versita Warsaw. This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License. BY-NC-ND 3.0
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