Short proofs for the inequalities of Szegö, Markov and Zygmund
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Displaying 1 – 11 of 11
Some Coefficient Estimates for Polynomials on the Unit Interval
Qazi, M. A., Rahman, Q. I. (2007)
Serdica Mathematical Journal
2000 Mathematics Subject Classification: 26C05, 26C10, 30A12, 30D15, 42A05, 42C05.In this paper we present some inequalities about the moduli of the coefficients of polynomials of the form f (x) : = еn = 0nan xn, where a0, ј, an О C. They can be seen as generalizations, refinements or analogues of the famous inequality of P. L. Chebyshev, according to which |an| Ј 2n-1 if | еn = 0n an xn | Ј 1 for -1 Ј x Ј 1.
Some exact inequalities of Hardy-Littlewood-Pólya type for periodic functions.
Azar, Laith Emil (2004)
International Journal of Mathematics and Mathematical Sciences
Some new inequalities for trigonometric polynomials with special coefficients.
Tomovski, Živorad (2003)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
Some new modified cosine sums and -convergence of cosine trigonometric series
Xhevat Z. Krasniqi (2013)
Archivum Mathematicum
In this paper we introduce some new modified cosine sums and then using these sums we study -convergence of trigonometric cosine series.
Some results in the metric theory of tensor products
Sten Kaisjer (1978)
Studia Mathematica
Spectral factorization of trigonometric polynomials and lattice geometry
Wayne Lawton (2012)
Acta Arithmetica
Subrings in trigonometric polynomial rings.
Shah, Tariq, Ullah, Ehsan (2009)
Acta Mathematica Academiae Paedagogicae Nyí regyháziensis. New Series [electronic only]
Suite de Rudin-Shapiro et modèle d'Ising
Jean-Paul Allouche, Michel Mendès France (1985)
Bulletin de la Société Mathématique de France
Suites lacunaires de Sidon, ensembles propres et points exceptionnels
Jean-François Méla (1964)
Annales de l'institut Fourier
Les ensembles “propres” pour une suite de Sidon sont caractérisés par une propriété de convergence des séries lacunaires à spectre dans la suite.
Sur le minimum d'une somme de cosinus
J. Bourgain (1986)
Acta Arithmetica
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