Comonotone approximation of periodic functions

DOI10.1134/S0001434608110072zbMath1219.42017OpenAlexW4254789098MaRDI QIDQ5894234

G. A. Dzyubenko, M. G. Pleshakov

Publication date: 20 August 2011

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

Full work available at URL: https://doi.org/10.1134/s0001434608110072

zbMATH Keywords

modulus of continuityperiodic functiontrigonometric polynomialcomonotone approximationJackson-type kernelWhitney's inequality

Mathematics Subject Classification ID

Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Rate of convergence, degree of approximation (41A25) Approximation by other special function classes (41A30)

Cites Work

• On functions with bounded \(n\)-th differences
• Piecewise monotone pointwise approximation
• Comonotone Jackson's inequality
• Degree of approximation by monotone polynomials. I
• Sign-Preserving Approximation of Periodic Functions
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