Inequalities for upper bounds of functionals

DOI10.1007/BF02079905zbMath0341.41018OpenAlexW2323337404MaRDI QIDQ1231624

A. A. Ligun

Publication date: 1976

Published in: Analysis Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02079905

Mathematics Subject Classification ID

Best approximation, Chebyshev systems (41A50) Approximation by other special function classes (41A30)

Related Items (28)

Intermediate error estimates ⋮ Circle method and modular theory ⋮ Strengthening the Comparison Theorem and Kolmogorov Inequality in the Asymmetric Case ⋮ Massiveness of the sets of extremal functions in some problems in approximation theory ⋮ On the exact values of the best approximations of classes of differentiable periodic functions by splines ⋮ Inequalities for derivatives of functions on an axis with nonsymmetrically bounded higher derivatives ⋮ Exact constants in inequalities of Jackson type ⋮ Inequalities for best spline approximation of periodic differentiable functions ⋮ Sharp Remez-type inequalities for differentiable periodic functions, polynomials, and splines ⋮ Sharp upper bounds of norms of functions and their derivatives on classes of functions with given comparison function ⋮ Development of studies on the exact solution of extremal problems of the theory of best approximation ⋮ Studies on extremal problems of spline-approximation ⋮ Development of studies on the exact solution of extremal problems of the theory of best approximation ⋮ K-interpolation in problems of uniform approximation of functions ⋮ Studies on extremal problems of spline-approximation ⋮ K-interpolation in problems of uniform approximation of functions ⋮ On strengthening inequalities of Jackson type ⋮ Exact error bound of approximation by interpolating splines in \(L\)-metric on the classes \(W^r_p(1\leq p<\infty)\) of periodic functions ⋮ Best one-sided approximation of certain classes of functions ⋮ A nonperiodic spline analog of the Akhiezer-Krein-Favard operators ⋮ One inequality of the Landau-Kolmogorov type for periodic functions of two variables ⋮ Sharp constants for approximations of convolution classes with an integrable kernel by spaces of shifts ⋮ Exact values of best approximations for classes of periodic functions by splines of deficiency 2 ⋮ Sharp inequalities for approximations of classes of periodic convolutions by odd-dimensional subspaces of shifts ⋮ Exact values of the best \((\alpha,\beta)\)-approximations for the classes of convolutions with kernels that do not increase the number of sign changes ⋮ Precise constants in inequalities of Jackson type ⋮ Inequalities for norms of derivatives of periodic functions ⋮ Classes of convolutions with a singular family of kernels: Sharp constants for approximation by spaces of shifts

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Functions of exponential type
• Period, index and potential \(\text Ш\)
• Über die beste Annäherung von Funktionen einer gegebenen Funktionenklasse
• Stone Duality for Nominal Boolean Algebras with И
• The Brauer-Manin Obstruction and III[2]

This page was built for publication: Inequalities for upper bounds of functionals