On the best polynomial approximations in \(L_2\) of some classes of \(2\pi\)-periodic functions and of the exact values of their \(n\)-widths
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Publication:1809998
DOI10.1023/A:1012335526330zbMath1018.41016MaRDI QIDQ1809998
Publication date: 15 June 2003
Published in: Mathematical Notes (Search for Journal in Brave)
best polynomial approximationexact constants in Jackson-type inequalitiesmodulus of smoothness of \(m\)th orderspace of \(2\pi\)-periodic measurable square-integrable functions
Trigonometric approximation (42A10) Approximation by arbitrary nonlinear expressions; widths and entropy (41A46) Best constants in approximation theory (41A44)
Related Items (8)
On widths of periodic functions in \(L_2\) ⋮ Exact constants in Jackson-type inequalities for the best mean square approximation in \(L_2(\mathbb{R})\) and exact values of mean \(\nu\)-widths of the classes of functions ⋮ Jackson-type inequalities and widths of function classes in \(L_{2}\) ⋮ Widths of some classes of functions defined by the generalized moduli of continuity \(\omega_\gamma\) in the space \(L_2\) ⋮ Widths of certain classes of periodic functions in \(L_2\) ⋮ Jackson-type inequalities with generalized modulus of continuity and exact values of the \(n\)-widths for the classes of \((\psi,\beta)\)-differentiable functions in \(L_2\). III ⋮ Exact Jackson-Stechkin-type inequalities for \(2\pi \)-periodic functions in \(L_2\) and widths of some classes of functions ⋮ On the estimates of widths of the classes of functions defined by the generalized moduli of continuity and majorants in the weighted space \(L_{2,x}(0, 1)\)
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