Short proofs for the inequalities of Szegö, Markov and Zygmund
Some Coefficient Estimates for Polynomials on the Unit Interval
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.
Some new inequalities for trigonometric polynomials with special coefficients.
Some new modified cosine sums and -convergence of cosine trigonometric series
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
Spectral factorization of trigonometric polynomials and lattice geometry
Subrings in trigonometric polynomial rings.
Suite de Rudin-Shapiro et modèle d'Ising
Suites lacunaires de Sidon, ensembles propres et points exceptionnels
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