Inequality between sides and diagonals of a space n -gon and its integral analog

Pavel Pech

Časopis pro pěstování matematiky (1990)

  • Volume: 115, Issue: 4, page 343-350
  • ISSN: 0528-2195

How to cite

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Pech, Pavel. "Inequality between sides and diagonals of a space $n$-gon and its integral analog." Časopis pro pěstování matematiky 115.4 (1990): 343-350. <http://eudml.org/doc/21778>.

@article{Pech1990,
author = {Pech, Pavel},
journal = {Časopis pro pěstování matematiky},
keywords = {Wirtinger's inequality; Fourier polynomials; space n-gon},
language = {eng},
number = {4},
pages = {343-350},
publisher = {Mathematical Institute of the Czechoslovak Academy of Sciences},
title = {Inequality between sides and diagonals of a space $n$-gon and its integral analog},
url = {http://eudml.org/doc/21778},
volume = {115},
year = {1990},
}

TY - JOUR
AU - Pech, Pavel
TI - Inequality between sides and diagonals of a space $n$-gon and its integral analog
JO - Časopis pro pěstování matematiky
PY - 1990
PB - Mathematical Institute of the Czechoslovak Academy of Sciences
VL - 115
IS - 4
SP - 343
EP - 350
LA - eng
KW - Wirtinger's inequality; Fourier polynomials; space n-gon
UR - http://eudml.org/doc/21778
ER -

References

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  1. L. Gerber, Napoleon's theorem and the parallelogram inequality for affine-regular polygons, Аmer. Math. Monthly 87 (1980), 644-648. (1980) Zbl0458.51018MR0600923
  2. D. S. Mitrinovič, Analytic inequalities, Ѕpringer, Berlin, 1970. (1970) Zbl0199.38101MR0279261
  3. I. J. Schoenberg, The finite Fourier series and elementary geometry, Amer. Math. Monthly 57 (1950), 390-404. (1950) Zbl0038.35602MR0036332
  4. G. Szegö, Orthogonal polynomials, Amer. Math. Ѕoc. XXIII, New York, 1939. (1939) 
  5. W. Blaschke, Kгeis und Kugel, 2nd edition, Gruyter, Berlin, 1956. (1956) MR0077958
  6. B. H. Neumann, Ѕome remarks on polygons, Ј. London Math. Ѕoc. 16 (1941), 230-245. (1941) MR0006839
  7. K. Fan O. Taussky J. Todd, Discrete аnаlogs of inequаlities of Wirtinger, Monаtsh. Mаth. 59 (1955), 73-90. (1955) MR0070676

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