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0401U000703,
20-02-2001
o
Approximation of (psi,beta)--differentiable functions by trigonometric polynomials.
Fedorenko Oleksij Sergijovych,
popup.head Степанець Олександр Іванович
popup.opponent Лигун Анатолій Олександрович
popup.opponent Назаренко Микола Олексійович
Дисертацію присвячено питанням наближення (psi,beta)-диференційовних функцій тригонометричними поліномами з певним вибором гармонік. Одержано точні порядкові оцінки найкращих m-членних тригонометричних та ортогональних тригонометричних наближень функцій класів L^{psi}_{beta,p} в метриці простору L_q для різних співвідношень між p та q, а також точна порядкова оцінка тригонометричних поперечників цих класів в метриці простору L_q для випадку 1<p<2<q<p/(p-1).
2001-02-20
2020-04-04
Updated: 2025-12-07
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