Точное неравенство Джексона – Стечкина в пространстве на периоде в терминах неклассического модуля непрерывности
: магистерская диссертация

Translated title of the thesis: Sharp Jackson–Stechkin inequality in in terms of a nonclassical modulus of continuity: Master's thesis

Student thesis: Master's Thesis

Abstract

We study the problem on the exact estimation of the value of the best mean-square approximation on the period to an arbitrary complex-valued periodic function by trigonometric polynomials of degree not exceeding a given number in terms of its nonclassical -modulus of continuity generated by the finite-difference operator of order, with alternating constant coefficients equal to 1 in absolute value.
Date of Award2017
Original languageRussian
Awarding Institution
  • Ural Federal University
SupervisorАлександр Григорьевич Бабенко (Supervisor)

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