S. N. Bernstein type estimations in the mean on the curves in a complex plane.
Sequences, wedges and associated sets of complex numbers
Some Characterizations of L-regular Points.
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 generalized convolution properties associated with certain subclasses of analytic functions.
Some inequalities exhibiting certain properties of some subclasses of multivalently analytic functions.
Some Inequalities for Analytic Functions with a Finite Dirichlet Integral on the Unit Disc.
Some inequalities for maximum modules of polynomials.
Some subordination results associated with certain subclasses of analytic functions.
Strong differential superordination.
Subordination results for a class of analytic functions defined by a linear operator.
Sur les fonctions finement holomorphes
Ces fonctions sont définies dans des ouverts pour la topologie fine de Brelot-Cartan dans le plan complexe. Elles généralisent les fonctions holomorphes ordinaires. L’étude des fonctions finement holomorphes est fondée ici sur les fonctions Beppo Levi comme précisées par Deny. En utilisant la transformée de Cauchy-Pompeiu on retrouve et étend de façon non-probabiliste les résultats de Debiard, Gaveau et Lyons. On montre en outre que toute fonction finement holomorphe est déterminée par sa série...