The Relation of Duality and the Criterion of the Extremality of an Element for the Problem of Finding the Distance Between Two Convex Sets of Linear Normed Space

• Date: 2018
• Main Authors: Гудима, Уляна Василівна, Гнатюк, Василь Олексійович
• Format: Article
• Language: Ukrainian
• Published: Кам'янець-Подільський національний університет імені Івана Огієнка 2018
• Online Access: http://mcm-math.kpnu.edu.ua/article/view/159385
• Journal Title: Mathematical and computer modelling. Series: Physical and mathematical sciences

P. L. Chebyshov started the conception of the best approximation of a continuous function on a segment using algebraic polynomials of some order at the middle of the XIX century. Later, the notion of the best approximation was considered for the case of general linear normed spaces. Over time, it be...