Inequalities containing best approximations and the modulus of continuity of functions in \(L_2\)

DOI10.1007/BF01097254zbMath0347.42003MaRDI QIDQ1234009

L. V. Taĭkov

Publication date: 1977

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

Mathematics Subject Classification ID

Trigonometric approximation (42A10) Best approximation, Chebyshev systems (41A50)

Related Items (7)

On the best simultaneous approximation of functions in the Bergman space \(B_2\) ⋮ On the best simultaneous approximation in the Bergman space \(B_2\) ⋮ On the best polynomial approximation in Hardy space ⋮ Exact constants in Jackson-type inequalities and exact values of the widths of some classes of functions in \(L_{2}\) ⋮ Jackson-type inequalities and widths of functional classes in the Musielak-Orlicz type spaces ⋮ On the estimates of widths of the classes of functions defined by the generalized moduli of continuity and majorants in the weighted space \(L_{2,x}(0, 1)\) ⋮ Widths of the classes of functions in the weight space \(L_{2 , \gamma } (\mathbb{R})\), \(\gamma = \mathrm{exp} ( - X^2)\)

Cites Work

• Über die beste Annäherung von Funktionen einer gegebenen Funktionenklasse
• DIAMETERS OF SETS IN FUNCTION SPACES AND THE THEORY OF BEST APPROXIMATIONS

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