Sharp Jackson inequality with a special modulus of continuity
DOI10.1134/S0081543814020047zbMath1315.41004MaRDI QIDQ483404
Yu. V. Kryakin, N. V. Dolmatova, A. G. Babenko
Publication date: 17 December 2014
Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)
\(B\)-splinesdegree of approximationbest trigonometric approximationbest constantssecond modulus of continuity\(L\)-approximationdirect theorems in approximation
Trigonometric approximation (42A10) Best approximation, Chebyshev systems (41A50) Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17) Rate of convergence, degree of approximation (41A25) Best constants in approximation theory (41A44)
Cites Work
- Integral approximation of the characteristic function of an interval and the Jackson inequality in \(C(\mathbb T)\)
- On the exact constant in the Jackson-Stechkin inequality for the uniform metric
- Integral approximation of the characteristic function of an interval by trigonometric polynomials
- Exact interpolation theorems for Lipschitz continuous functions
- Comparison theorems for a generalized modulus of continuity
- On the Sums ∑ k = -∞ ∞ (4k + 1) -n
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