КЛАССИФИКАЦИЯ ВЫПУКЛЫХ МНОГОГРАННИКОВ
Journal Title: Проблемы анализа-Issues of Analysis - Year 2004, Vol 11, Issue
Abstract
The paper is continuation of the author's series of paper devoted to the solution of Hadviger's problem of covering convex polyhedrons with body images at homothety. The problem under discussion in this paper can be described as follows: to give the classification of all convex polyhedrons. Principle of classification the following: exists prismatic part of polyhedron or does not exist.
Authors and Affiliations
Т. М. ПУОЛОКАЙНЕН
ON WEIGHTED GENERALIZED FUNCTIONS ASSOCIATED WITH QUADRATIC FORMS
In this article we consider certain types of weighted generalized functions associated with nondegenerate quadratic forms. Such functions and their derivatives are used for constructing fundamental solutions of iterated...
ЛИНЕЙНО-ИНВАРИАНТНЫЕ СЕМЕЙСТВА ГОЛОМОРФНЫХ ОТОБРАЖЕНИЙ ШАРА, ПЕРЕХОД К ВЫСШИМ РАЗМЕРНОСТЯМ
In the paper there has been given the complete proof of an extension theorem from [1], which concerns the changes of the order of linearly invariant families (LIF) during passage from arbitrarily fixed LIF in C^n to a LI...
A Note on Characterization of h-Convex Functions via Hermite-Hadamard Type Inequality
A characterization of h-convex function via Hermite-Hadamard inequality related to the h-convex functions is investigated. In fact it is determined that under what conditions a function is h-convex, if it satisfies the...
ВЗАИМНЫЕ МУЛЬТИФРАКТАЛЬНЫЕ СПЕКТРЫ II. СПЕКТРЫ ЛЕЖАНДРА, ХЕНТШЕЛЬ - ПРОКАЧИА И СПЕКТРЫ, ОПРЕДЕЛЕННЫЕ ДЛЯ РАЗБИЕНИЙ
In this paper we introduce such coarse multifractal spectra as the mutual Legendre multifractal spectra, the mutual Hentschel - Procaccia spectra and the spectra, which defined for partitions of metric space X.
ТЕОРЕМА ИСКАЖЕНИЯ В ОДНОМ ПОДКЛАССЕ МЕРОМОРФНЫХ И ОДНОЛИСТНЫХ В ЕДИНИЧНОМ КРУГЕ ФУНКЦИЙ
It is obtained some estimates for functions from C_0 subset of meromorphic univalent in the unit disk functions.