ГАРМОНИЧЕСКИЙ АНАЛИЗ ДАНКЛЯ И НЕКОТОРЫЕ ЗАДАЧИ ТЕОРИИ ПРИБЛИЖЕНИЙ ФУНКЦИЙ. I
Journal Title: Проблемы анализа-Issues of Analysis - Year 2006, Vol 13, Issue
Abstract
Some problems of aproximations of functions on the real line R in the L 2- metric with certain weight by entire functions of exponential growth are studied. Modules of continuity which used in problems are constructed with help of generalized translations of Dunkl. Direct theorems of Jacson type are proved.
Authors and Affiliations
Е. С. БЕЛКИНА
N-FRACTIONAL CALCULUS OPERATOR METHOD TO THE EULER EQUATION
We can obtain the explicit solutions of the Euler equation by using the fractional calculus methods. So, we apply the N operator method in the fractional calculus to solve this equation in this paper. We take advantage o...
ON COMPLEX HARMONIC TYPICALLY-REAL FUNCTIONS WITH A POLE AT THE POINT ZERO
Several mathematicians examined classes of meromorphic typically-real functions with a simple pole at the point zero. This article includes results concern class Q' H of complex harmonic typically-real functions with a p...
DISTRIBUTION OF VALUES OF THE SUM OF UNITARY DIVISORS IN RESIDUE CLASSES
In this paper we prove the tauberian type theorem containing the asymptotic series for the Dirichlet series. We use this result to study distribution of sum of unitary divisors in residue classes coprime with a module. T...
EXTENSION OF THE REFINED GIBBS INEQUALITY
In this note, we give an extension of the refined Gibbs' inequality containing arithmetic and geometric means. As an application, we obtain converse and refinement of the arithmetic-geometric mean inequality.
REDUCED p-MODULUS, p-HARMONIC RADIUS AND p-HARMONIC GREEN’S MAPPINGS
We consider the definitions and properties of the metric characteristics of the spatial domains previously introduced by the author, and their connection with the class of mappings, the particular case of which are the h...