On the exact values of the best approximations of classes of differentiable periodic functions by splines

DOI10.1134/S0001434610050032zbMath1290.41022MaRDI QIDQ368203

Vladislav F. Babenko, Nataliia Viktorivna Parfinovych

Publication date: 18 September 2013

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

zbMATH Keywords

splinesbest \(L^1\)-approximationdifferentiable periodic functions

Mathematics Subject Classification ID

Spline approximation (41A15) Approximate quadratures (41A55)

Related Items (2)

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 ⋮ Exact values of the best \((\alpha,\beta)\)-approximations for the classes of convolutions with kernels that do not increase the number of sign changes

Cites Work

• Exact values of best approximations for classes of periodic functions by splines of deficiency 2
• Approximations, widths and optimal quadrature formulae for classes of periodic functions with rearrangements invariant sets of derivatives
• On n-widths of periodic functions
• Diameters of certain classes of differentiable periodic functions
• Diameters of some classes of differable periodic functions in the space L
• Inequalities for upper bounds of functionals
• Complexity of approximation problems
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