ОБ ОДНОМ СВОЙСТВЕ ЗАДАЧИ ЛИНЕЙНОГО ПРОГРАММИРОВАНИЯ С ПСЕВДОИНТЕРВАЛЬНЫМИ ПЕРЕМЕННЫМИ
Journal Title: Проблемы анализа-Issues of Analysis - Year 2006, Vol 13, Issue
Abstract
The optimization task with linear constraints of pseudo-interval variables is discussed in the article. It is proofed that if the task has optimal solution, then there is a solution that has not more than M non-zero variables (M is the number of constraints of the task).
Authors and Affiliations
Р. В. ВОРОНОВ, В. В. ПОЛЯКОВ
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...
About a structure of exponential monomials on some locally compact abelian groups
We describe the structure of some class of exponential monomials on some locally compact abelian groups. The main result of the paper is the next theorem.
THE GENERALIZED KOEBE FUNCTION
We observe that the extremal function for |a 3| within the class U' α (see Starkov [1]) has as well the property that max|A 4|>4.15, if α=2. The problem is equivalent to the global estimate for Meixner-Pollaczek polynomi...
Volume and area of intersection of a ball and an infinite parallelepiped
В статье рассматривается тело, являющиеся пересечением шара и прямого произведения квадрата на прямую (бесконечный параллелепипед), причем диаметр шара лежит на оси симметрии параллелепипеда. Вычисляются объем и площадь...
Sobolev-Orthonormal System of Functions Generated by the System of Laguerre Functions
We consider the system of functions λ α r,n (x) (r ∈ N, n = 0, 1, 2, . . .), orthonormal respect to the Sobolev-type inner product f, g = Σ r-1 ν=0 f (υ) (0) g (υ) (0)+ I ∞ 0 f (r) (x) g (r) (x) dx and generated by the o...