A sharpening of discrete analogues of Wirtinger's inequality

Jarmila Novotná

Časopis pro pěstování matematiky (1983)

  • Volume: 108, Issue: 1, page 70-77
  • ISSN: 0528-2195

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Novotná, Jarmila. "A sharpening of discrete analogues of Wirtinger's inequality." Časopis pro pěstování matematiky 108.1 (1983): 70-77. <http://eudml.org/doc/21525>.

@article{Novotná1983,
author = {Novotná, Jarmila},
journal = {Časopis pro pěstování matematiky},
keywords = {Wirtinger's inequality; discrete analogues; isoperimetric inequality for polygons},
language = {eng},
number = {1},
pages = {70-77},
publisher = {Mathematical Institute of the Czechoslovak Academy of Sciences},
title = {A sharpening of discrete analogues of Wirtinger's inequality},
url = {http://eudml.org/doc/21525},
volume = {108},
year = {1983},
}

TY - JOUR
AU - Novotná, Jarmila
TI - A sharpening of discrete analogues of Wirtinger's inequality
JO - Časopis pro pěstování matematiky
PY - 1983
PB - Mathematical Institute of the Czechoslovak Academy of Sciences
VL - 108
IS - 1
SP - 70
EP - 77
LA - eng
KW - Wirtinger's inequality; discrete analogues; isoperimetric inequality for polygons
UR - http://eudml.org/doc/21525
ER -

References

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  1. W. Blaschke, Kreis und Kugel, Leipzig 1916, 1956. (1916) MR0077958
  2. H. D. Block, Discrete Analogues of Certain Integral Inequalities, Proc. Amer. Math. Soc., 8, No. 4, 1957, pp. 852-859. (1957) Zbl0081.04504MR0092831
  3. K. Fan O. Taussky J. Todd, Discrete Analogs of Inequalities of Wirtinger, Monatsh. Math., 59, 1955, pp. 73-90. (1955) MR0070676
  4. Z. Nádeník, Die Verschärfung einer Ungleichung von Frobenius für den gemischten Flächeninhalt der konvexen ebenen Bereiche, Čas. pěst. mat., 90, 1965, pp. 220-225. (1965) MR0192411
  5. J. Novotná, Discrete Analogues of Some Functional Inequalities, (Czech). Sborník XIV. celostátní konference o matematice na VŠTEZ, Gottwaldov 1978, pp. 115-124. (1978) 
  6. J. Novotná, Variations of Discrete Analogues of Wirtinger's Inequalitу, Čas. pěst. mat., 105, 1980, pp. 278-285. (1980) MR0588678
  7. I. J. Schoenberg, The Finite Fourier Series and Elementarу Geometrу, Amer. Math. Monthlу, 57, 1950, pp. 390-404. (1950) MR0036332
  8. O. Shisha, On the Discrete Veгsion of Wirtinger's Inequalitу, Amer. Math. Monthlу, 1973, pp. 755-760. (1973) MR0322688

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