On the curves of constant relative width

Andrzej Miernowski; Witold Mozgawa

Rendiconti del Seminario Matematico della Università di Padova (2002)

  • Volume: 107, page 57-65
  • ISSN: 0041-8994

How to cite

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Miernowski, Andrzej, and Mozgawa, Witold. "On the curves of constant relative width." Rendiconti del Seminario Matematico della Università di Padova 107 (2002): 57-65. <http://eudml.org/doc/108584>.

@article{Miernowski2002,
author = {Miernowski, Andrzej, Mozgawa, Witold},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
language = {eng},
pages = {57-65},
publisher = {Seminario Matematico of the University of Padua},
title = {On the curves of constant relative width},
url = {http://eudml.org/doc/108584},
volume = {107},
year = {2002},
}

TY - JOUR
AU - Miernowski, Andrzej
AU - Mozgawa, Witold
TI - On the curves of constant relative width
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 2002
PB - Seminario Matematico of the University of Padua
VL - 107
SP - 57
EP - 65
LA - eng
UR - http://eudml.org/doc/108584
ER -

References

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  1. [Ch] G. D. CHAKERIAN, Sets of constant width, Pacific J. Math., 19 (1966), pp. 13-21. Zbl0142.20702MR205152
  2. [Gr] H. GROEMER, Geometric Applications of Fourier Series and Spherical Harmonics, Encyclopedia of Mathematics and its Applications, University Press, Cambridge, 1996. Zbl0877.52002MR1412143
  3. [Gu] H. W. GUGGENHEIMER, Geometrical applications of integral calculus, contained in May, K. O., Lectures on Calculus, Holden-Day, San Francisco, 1967. 
  4. [Hu] A. HURWITZ, Sur quelques applications géométriques des séries Fourier, Ann. Sci. Ecole Norm. Sup., 19 (1902), pp. 357-408. Zbl33.0599.02MR1509016JFM33.0599.02
  5. [KH] T. KUBOTA - D. HEMMI, Some problems of minima concerning the oval, Jour. Math. Soc. Japan, 5 (1953), pp. 372-389. Zbl0052.39401MR62462
  6. [MM] Y. MARTINEZ-MAURE, Geometric inequalities for plane hedgehoges, Demonstratio Math., XXXII (1999), pp. 177-183. Zbl0931.53008MR1691729
  7. [Oh] D. OHMANN, Extremal problems für konvexe Bereiche der euklidischen Ebene, Math. Z., 55 (1952), pp. 346-352. Zbl0046.15904MR48831
  8. [Ro] S. A. ROBERTSON, Smooth curves of constnt width and transnormality, Bull. London Math. Soc., 16 (1984), pp. 264-274. Zbl0536.53059MR738517
  9. [Sh] M. SHOLANDER, On certain minimum problem in the theory of convex curves, Trans. Amer. Math. Soc., 73 (1952), pp. 139-173. Zbl0047.15901MR53536

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