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

Časopis pro pěstování matematiky (1990)

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

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topPech, 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

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

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