Тригонометрические и алгебраические полиномы с несколькими фиксированными старшими гармониками, наименее уклоняющиеся от нуля
: магистерская диссертация

Translated title of the thesis: Trigonometric and algebraic polynomials with several fixed higher harmonics that deviate least from zero: Master's thesis

Student thesis: Master's Thesis

Abstract

We consider the problem on polynomials with fixed higher coefficients that deviate least from zero. We find an explicit form for all trigonometric polynomials with fixed coefficients at three highest harmonics that deviate least from zero in the integral norm as well as algebraic polynomials with three fixed leading coefficients that deviate least from zero in the integral norm with the Chebyshev weight.
Date of Award2017
Original languageRussian
Awarding Institution
  • Ural Federal University
SupervisorИван Евгеньевич Симонов (Supervisor)

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