Наилучшее одностороннее интегральное приближение характеристической функции промежутка алгебраическими многочленами
: магистерская диссертация

Translated title of the thesis: Best one-sided integral approximation of the characteristic function of an interval by algebraic polynomials: Master's thesis

Student thesis: Master's Thesis

Abstract

We consider the problems of the best one-sided approximation (from below and from above) in the space of functions integrable on (-1,1) with a weight to the characteristic function of an interval (a,b) from (-1,1) by the set of algebraic polynomials of degree not exceeding a given number. We solve the problems in the case when a and b are nodes of a positive quadrature formula under some conditions on its degree of precision as well as in the case of a symmetric interval for an even weight.
Date of Award2019
Original languageRussian
Awarding Institution
  • Ural Federal University
SupervisorМарина Валерьевна Дейкалова (Supervisor)

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