A NOTE ON THE EFFECT OF PROJECTIONS ON BOTH MEASURES AND THE GENERALIZATION OF q-DIMENSION CAPACITY
Journal Title: Проблемы анализа-Issues of Analysis - Year 2016, Vol 5, Issue 2
Abstract
In this paper, we are concerned both with the properties of the generalization of the L^q-spectrum relatively to two Borel probability measures and with the generalized q-dimension Riesz capacity. We are also interested in the study of their behaviors under orthogonal projections.
Authors and Affiliations
Bilel Selmi
THE THEOREM ON EXISTENCE OF SINGULAR SOLUTIONS TO NONLINEAR EQUATIONS
The aim of this paper is to present some applications of pregularity theory to investigations of nonlinear multivalued mappings. The main result addresses to the problem of existence of solutions to nonlinear equations i...
The approximate conformal mapping onto multiply connected domains
The method of boundary curve reparametrization is generalized to the case of multiply connected domains. We construct the approximate analytical conformal mapping of the unit disk with N circular slits or an annulus with...
СХОДИМОСТЬ СЕТОЧНО-ИНТЕРПОЛЯЦИОННЫХ АППРОКСИМАЦИЙ РЕШЕНИЯ КВАЗИЛИНЕЙНОЙ ПАРАБОЛИЧЕСКОЙ КРАЕВОЙ ЗАДАЧИ НА ОТРЕЗКЕ
В статье рассматривается квазилинейная параболическая краевая задача III рода на отрезке: коэффициенты уравнения и правые части граничных условий нелинейно зависят от времени, точки и предыстории решения. Доказана сходим...
On a generalization of an inequality of Bohr
Пусть pϵ(1,2], n≥1, S⊆R n и Г(S,p)- множество всех тех функций, γ(t)ϵL p(R n), носитель преобразования Фурье которых лежит в S. В работе получены условия выполнения неравенства ||∫ E t γ(τ)dτ|| L ∞(R n)≤C||γ(τ)|| L p(R n...
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...