ПЕРЕСЕЧЕНИЕ МНОЖЕСТВА ЭКСТРЕМАЛЬНЫХ ФУНКЦИЙ ДЛЯ ДВУХ ФУНКЦИОНАЛОВ
Journal Title: Проблемы анализа-Issues of Analysis - Year 2010, Vol 17, Issue
Abstract
В работе исследована экстремальная задача для линейного функционала в классе U' α. В частности, получен вид экстремальной функции.
Authors and Affiliations
И. С. Ефремова
BOUNDARY VALUE PROBLEMS FOR INTEGRAL EQUATIONS WITH OPERATOR MEASURES
We consider integral equations with operator measures on a segment in the infinite-dimensional case. These measures are defined on Borel sets of the segment and take values in the set of linear bounded operators acting i...
ON SOME HARMONIC FUNCTIONS RELATED TO HOLOMORPHIC FUNCTIONS WITH A POSITIVE REAL PART
In the paper we examine some holomorphic functions and complex harmonic functions, which satisfy certain conditions of a Mocanu kind. We also consider their relations with appropriate coefficient conditions. The paper is...
Solvability of the difference equations for the dynamics of cumulative sums
We consider the linear system of difference equations for the cumulative sum used in detecting network attacks. In the flow of events each can be dangerous with the known probability, in this case the cumulative sum is i...
РАСПРЕДЕЛЕНИЕ ЗНАЧЕНИЙ ОБОБЩЕННОЙ ФУНКЦИИ ДЕЛИТЕЛЕЙ В КЛАССАХ ВЫЧЕТОВ ПО РАСТУЩЕМУ МОДУЛЮ
В работе устанавливается асимптотическая формула с остаточным членом для распределения значений обобщенной функции делителей в классах вычетов по растущему модулю.
ГАРМОНИЧЕСКИЙ АНАЛИЗ ДАНКЛЯ И НЕКОТОРЫЕ ЗАДАЧИ ТЕОРИИ ПРИБЛИЖЕНИЙ ФУНКЦИЙ. I
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 wi...