Diameters of certain classes of differentiable periodic functions

DOI10.1007/BF01149811zbMath0468.46023OpenAlexW2034639624MaRDI QIDQ1156335

A. A. Ligun

Publication date: 1980

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

Full work available at URL: https://doi.org/10.1007/bf01149811

zbMATH Keywords

continuity modulusdiametersdifferentiable periodic functions

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35)

Related Items (4)

On the exact values of the best approximations of classes of differentiable periodic functions by splines ⋮ Widths of weighted Sobolev classes with constraints \(f(a) = \cdots = f^{(k-1)}(a) = f^{(k)}(b) = \cdots = f^{(r-1)}(b) = 0\) and the spectra of nonlinear differential equations ⋮ Finite rank approximations to integral operators which satisfy certain total positivity conditions ⋮ Inequalities for norms of derivatives of periodic functions

Cites Work

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• Diameters of some classes of differable periodic functions in the space L
• DIAMETERS OF SETS IN FUNCTION SPACES AND THE THEORY OF BEST APPROXIMATIONS
• Some Extensions of a Theorem of Hardy, Littlewood and Pólya and Their Applications

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