INEQUALITIES CONCERNING B-OPERATORS
Journal Title: Проблемы анализа-Issues of Analysis - Year 2016, Vol 5, Issue 1
Abstract
Let P_n be the class of polynomials of degree at most n. Rahman introduced the class B_n of operators B that map P_n into itself. In this paper we prove some results concerning such operators and thereby obtain generalizations of some well known polynomial inequalities.
Authors and Affiliations
S. L. Wali, W. M. Shah, A. Liman
ON THE ALMOST PERIODIC AT INFINITY FUNCTIONS FROM HOMOGENEOUS SPACES
We consider homogeneous spaces of functions defined on the real axis (or semi-axis) with values in a complex Banach space. We study the new class of almost periodic at infinity functions from homogeneous spaces. The main...
Inequalities for some basic hypergeometric functions
We establish conditions for the discrete versions of logarithmic concavity and convexity of the higher order regularized basic hypergeometric functions with respect to the simultaneous shift of all its parameters. For a...
ОБ ОБЛАСТЯХ, КОНФОРМНО ИЗОМОРФНЫХ ПЛОСКОСТИ С РАЗРЕЗАМИ ВДОЛЬ ПРЯМОЙ
It is proved that extended complex plane with n slits on the real axis is conformally isomorphed to a circular domain, symmetric with respect to this axis.
THE SCHWARZIAN DERIVATIVES OF HARMONIC FUNCTIONS AND UNIVALENCE CONDITIONS
In the paper we obtain some analogues of Nehari’s univalence conditions for sense-preserving functions that are harmonic in the unit disc D = {z ∈ C : |z| < 1}.
ON METRIC SPACE VALUED FUNCTIONS OF BOUNDED ESSENTIAL VARIATION
Let ∅≠T ⊂ R and let X be a metric space. For an ideal J ⊂ P(T) and a function f:T-> X, we define the essential variation V^J ess(f, T) as the in mum of all variations V (g; T) where g:T-> X, g = f on T\E, and E in J. We...