Widths of classes of periodic differentiable functions in the space \(L_{2} [0, 2\pi]\)

DOI10.1134/S0001434610030351zbMath1202.46041MaRDI QIDQ1957090

Mirgand Shabozovich Shabozov

Publication date: 24 September 2010

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

modulus of continuityFourier serieslinear operatortrigonometric polynomialdifferentiable periodic functionwidth in the sense of Bernsteinwidth in the sense of Gelfandwidth in the sense of Kolmogorov

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Approximation by arbitrary nonlinear expressions; widths and entropy (41A46)

Related Items (8)

On widths of periodic functions in \(L_2\) ⋮ Widths of certain classes of periodic functions in \(L_2\) ⋮ Unnamed Item ⋮ Exact constants in Jackson-type inequalities and exact values of the widths of some classes of functions in \(L_{2}\) ⋮ \(n\)-widths of certain function classes defined by the modulus of continuity ⋮ Exact Jackson-Stechkin-type inequalities for \(2\pi \)-periodic functions in \(L_2\) and widths of some classes of functions ⋮ On the best mean square approximations by entire functions of exponential type in \(L_2(\mathbb R)\) and mean \(\nu\)-widths of some functional classes ⋮ On the estimates of widths of the classes of functions defined by the generalized moduli of continuity and majorants in the weighted space \(L_{2,x}(0, 1)\)

Cites Work

• Unnamed Item
• Widths in \(L_ 2\) of classes of differentiable functions, defined by higher-order moduli of continuity
• Jackson-type inequalities and widths of function classes in \(L_{2}\)
• On the best approximation and exact evaluation of the widths of some classes of functions in the Bergman space \(B_{p}\), \(1 \leq p \leq \infty\)
• Exact constants in Jackson-type inequalities and exact values of widths
• Best Polynomial Approximations in L 2 and Widths of Some Classes of Functions

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