On a positive sine sum

Stamatis Koumandos

Colloquium Mathematicae (1996)

  • Volume: 71, Issue: 2, page 243-251
  • ISSN: 0010-1354

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Koumandos, Stamatis. "On a positive sine sum." Colloquium Mathematicae 71.2 (1996): 243-251. <http://eudml.org/doc/210438>.

@article{Koumandos1996,
author = {Koumandos, Stamatis},
journal = {Colloquium Mathematicae},
keywords = {positive trigonometric sums; ultraspherical polynomials; Gegenbauer polynomials},
language = {eng},
number = {2},
pages = {243-251},
title = {On a positive sine sum},
url = {http://eudml.org/doc/210438},
volume = {71},
year = {1996},
}

TY - JOUR
AU - Koumandos, Stamatis
TI - On a positive sine sum
JO - Colloquium Mathematicae
PY - 1996
VL - 71
IS - 2
SP - 243
EP - 251
LA - eng
KW - positive trigonometric sums; ultraspherical polynomials; Gegenbauer polynomials
UR - http://eudml.org/doc/210438
ER -

References

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  1. [1] R. Askey, Remarks on the preceding paper by Gavin Brown and Edwin Hewitt, Math. Ann. 268 (1984), 123-126. Zbl0553.42001
  2. [2] R. Askey and J. Steinig, Some positive trigonometric sums, Trans. Amer. Math. Soc. 187 (1974), 295-307. Zbl0244.42002
  3. [3] G. Brown and E. Hewitt, A class of positive trigonometric sums, Math. Ann. 268 (1984), 91-122. Zbl0522.42001
  4. [4] G. Brown, S. Koumandos and K.-Y. Wang, Positivity of more Jacobi polynomial sums, Math. Proc. Cambridge Philos. Soc., to appear. Zbl0847.33006
  5. [5] G. Brown, S. Koumandos and K.-Y. Wang, Positivity of Cotes numbers at more Jacobi abscissas, Monatsh. Math., to appear. Zbl0860.33005
  6. [6] B. W. Char, K. O. Geddes, A. H. Gonnet, B. L. Leong, M. B. Monagan and S. M. Watt, Maple V First Leaves. A Tutorial Introduction to Maple V and Library Reference Manual, Springer, 1992. Zbl0758.68037
  7. [7] A. Erdélyi, W. Magnus, F. Oberhettinger and F. G. Tricomi, Higher Trans- cendental Functions, Vol. 2, McGraw-Hill, New York, 1953. Zbl0051.30303
  8. [8] G. Szegö, Orthogonal Polynomials, 4th ed., Amer. Math. Soc. Colloq. Publ. 23, Amer. Math. Soc., Providence, R.I., 1975. 
  9. [9] L. Vietoris, Über das Vorzeichen gewisser trigonometrischer Summen, Sitzungsber. Öster. Akad. Wiss. 167 (1958), 125-135, ibid. 168 (1959), 192-193. Zbl0088.27402
  10. [10] A. Zygmund, Trigonometric Series, 2nd ed., Cambridge University Press, 1959. Zbl0085.05601

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