Development of studies on the exact solution of extremal problems of the theory of best approximation

DOI10.1007/BF01066360zbMath0729.41028MaRDI QIDQ5896564

A. A. Ligun, Vladislav F. Babenko

Publication date: 1990

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

zbMATH Keywords

exact solutionwidthswidthsexact solution

Mathematics Subject Classification ID

Best approximation, Chebyshev systems (41A50) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) Approximation by arbitrary nonlinear expressions; widths and entropy (41A46)

Cites Work

• Sharp inequalities for the norms of conjugate functions and their applications
• On n-widths of periodic functions
• On approximation of a class by another class and extremal subspaces in \(L_ 1\).
• On extremal subspaces and approximation of periodic functions by splines of minimal defect
• Diameters of some classes of differable periodic functions in the space L
• Inequalities for upper bounds of functionals
• Exact error bound of approximation by interpolating splines in \(L\)-metric on the classes \(W^r_p(1\leq p<\infty)\) of periodic functions
• Exact interpolation theorems for Lipschitz continuous functions
• Über die beste Annäherung von Funktionen einer gegebenen Funktionenklasse
• On one-sided approximation by trigonometrical polynomials
• Studies on extremal problems of spline-approximation
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