Geometric proof of the discrete inequality of W. Wirtinger

Kamil Maleček

Mathematica Bohemica (1995)

  • Volume: 120, Issue: 1, page 83-89
  • ISSN: 0862-7959

Abstract

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Die diskrete Ungleichung von W. Wirtinger wird aus den Eigenschaften der auf den mehrdimensionalen Raumen liegenden Polygone gefolgert.

How to cite

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Maleček, Kamil. "Geometrischer Beweis der diskreten Ungleichung von W. Wirtinger." Mathematica Bohemica 120.1 (1995): 83-89. <http://eudml.org/doc/247791>.

@article{Maleček1995,
author = {Maleček, Kamil},
journal = {Mathematica Bohemica},
keywords = {discrete Wirtinger’s inequality; regular polygons; discrete Wirtinger's inequality; regular polygons},
language = {ger},
number = {1},
pages = {83-89},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Geometrischer Beweis der diskreten Ungleichung von W. Wirtinger},
url = {http://eudml.org/doc/247791},
volume = {120},
year = {1995},
}

TY - JOUR
AU - Maleček, Kamil
TI - Geometrischer Beweis der diskreten Ungleichung von W. Wirtinger
JO - Mathematica Bohemica
PY - 1995
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 120
IS - 1
SP - 83
EP - 89
LA - ger
KW - discrete Wirtinger’s inequality; regular polygons; discrete Wirtinger's inequality; regular polygons
UR - http://eudml.org/doc/247791
ER -

References

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  4. K. Fan O. Taussky J. Todd, Discrete Analogs of Inequalities of Wirtinger, Monatsh. Math. 59 (1955), 73-90. (1955) MR0070676
  5. J. Novotná, Discrete Analogues of Wirtinger's Inequality for a Two-Dimensional Array, Čas. pěst. mat. 105 (1980), 354-362. (1980) Zbl0454.26007MR0597912
  6. J. Novotná, A Sharpening of Discrete Analogues of Wirtinger's Inequality, Čas. pěst. mat. 108 (1983), 70-77. (1983) Zbl0521.26008MR0694141
  7. J. Novotná, Discrete Analogues of Certain Inequalities of the Wirtinger Type Involving a Function and Its First and Second Derivatives, Rad Hrvatske akad. znan. umj. mat. 10 (1991), 217-255. (1991) MR1211612
  8. O. Shisha, 10.1080/00029890.1973.11993366, Amer. Math. Monthly 80 (1973), 755-760. (1973) Zbl0269.26017MR0322688DOI10.1080/00029890.1973.11993366
  9. I. J. Schoenberg, 10.1080/00029890.1950.11999555, Amer. Math. Monthly 57 (1950), 390-404. (1950) Zbl0038.35602MR0036332DOI10.1080/00029890.1950.11999555

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