ArticleOriginal scientific text

Title

On a positive sine sum

Authors 1

Affiliations

  1. Department of Pure Mathematics, The University of Adelaide, Australia 5005

Keywords

positive trigonometric sums, ultraspherical polynomials

Bibliography

  1. R. Askey, Remarks on the preceding paper by Gavin Brown and Edwin Hewitt, Math. Ann. 268 (1984), 123-126.
  2. R. Askey and J. Steinig, Some positive trigonometric sums, Trans. Amer. Math. Soc. 187 (1974), 295-307.
  3. G. Brown and E. Hewitt, A class of positive trigonometric sums, Math. Ann. 268 (1984), 91-122.
  4. G. Brown, S. Koumandos and K.-Y. Wang, Positivity of more Jacobi polynomial sums, Math. Proc. Cambridge Philos. Soc., to appear.
  5. G. Brown, S. Koumandos and K.-Y. Wang, Positivity of Cotes numbers at more Jacobi abscissas, Monatsh. Math., to appear.
  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.
  7. A. Erdélyi, W. Magnus, F. Oberhettinger and F. G. Tricomi, Higher Trans- cendental Functions, Vol. 2, McGraw-Hill, New York, 1953.
  8. G. Szegö, Orthogonal Polynomials, 4th ed., Amer. Math. Soc. Colloq. Publ. 23, Amer. Math. Soc., Providence, R.I., 1975.
  9. L. Vietoris, Über das Vorzeichen gewisser trigonometrischer Summen, Sitzungsber. Öster. Akad. Wiss. 167 (1958), 125-135, ibid. 168 (1959), 192-193.
  10. A. Zygmund, Trigonometric Series, 2nd ed., Cambridge University Press, 1959.
Pages:
243-251
Main language of publication
English
Received
1995-05-05
Published
1996
Exact and natural sciences