The Conditions of Existence of the Extremal Element for the Problem of Finding the Distance Between Two Sets, the Unity of an Extremal Element for its Equivalent Problem, the Properties of the Function of the Distance

• Date: 2020
• Main Authors: Гудима, Уляна, Гнатюк, Василь
• Format: Article
• Language: Ukrainian
• Published: Кам'янець-Подільський національний університет імені Івана Огієнка 2020
• Online Access: http://mcm-math.kpnu.edu.ua/article/view/224866
• Journal Title: Mathematical and computer modelling. Series: Physical and mathematical sciences

The theory of approximation of a function is a direction of mathematics which is intensively developing. The work of P. L. Chebyshev in 1857 is considered the beginning of the modern theory of approximations. It is devoted to polynomials that deviate the least from zero. In this work, the concept of...