Browsing Τμήμα Μαθηματικών και Στατιστικής / Department of Mathematics and Statistics by Author "Brown, G."
Now showing items 1-6 of 6
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A new bound for the Fejér-Jackson sum
Brown, G.; Koumandos, S. (1998)We establish a new positive functional estimate for the FejérJackson sum Sn(θ) = Σnk=1 k-1 sin kθ. This result enables us to give a simple proof of a result of Askey and Steinig on a monotonic sine sum associated with the ...
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On a monotonic trigonometric sum
Brown, G.; Koumandos, S. (1997)By establishing a cosine analogue of a result of Askey and Steinig on a monotonic sine sum, this paper sharpens and unifies several results associated with Young's inequality for the partial sums of Σk-1 cos kθ.
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On the positivity of some basic legendre polynomial sums
Brown, G.; Koumandos, S.; Wang, K. (1999)The positivity of the partial sums of the series of Legendre polynomials is a classical result of Fejér. The paper presents corresponding results for both even and odd Legendre polynomials with best possible leading ...
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Positivity of basic sums of ultraspherical polynomials
Brown, G.; Koumandos, S.; Wang, K. -Y (1998)We determine the maximum range of A for the positivity of sums This result resolves a problem posed by Szegö thirty five years ago. © 2014, Oldenbourg Wissenschaftsverlag GmbH, Rosenheimer Str. 145, 81671 München. All ...
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Positivity of Cotes numbers at more Jacobi abscissas
Brown, G.; Koumandos, S.; Wang, K. -Y (1996)The positivity of certain finite sums of even ultraspherical polynomials has been identified by Askey as a specially interesting case of a more general problem concerning positivity of Cotes numbers at Jacobi abscissas. ...
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Positivity of more Jacobi polynomial sums
Brown, G.; Koumandos, S.; Wang, K. -Y (1996)