On a positive sine sum

• Autorzy: Stamatis Koumandos
• Języki publikacji: EN

Słowa kluczowe

EN

positive trigonometric sums; ultraspherical polynomials

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 1996
• Tom: 71
• Numer: 2
• Strony: 243-251

Daty

wydano

1996

otrzymano

1995-05-05

Twórcy

autor

Stamatis Koumandos

• Department of Pure Mathematics, The University of Adelaide, Australia 5005

Bibliografia

• [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.