Inverse theorems on the approximation of periodic functions with high generalized smoothness

DOI10.1134/S0001434622010382zbMath1485.42003OpenAlexW4213436224WikidataQ113786465 ScholiaQ113786465MaRDI QIDQ2113438

N. V. Laktionova, Konstantin V. Runovski

Publication date: 14 March 2022

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

Full work available at URL: https://doi.org/10.1134/s0001434622010382

zbMATH Keywords

best approximationgeneralized derivativeBernstein's inequalityinverse theorem of approximation theory

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Trigonometric approximation (42A10) Best approximation, Chebyshev systems (41A50)

Cites Work

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• Inverse theorems for the approximation of \((\psi{},\beta{})\)- differentiable functions
• Generalized smoothness and approximation of periodic functions in the spaces \(L_p\), \(1 < p < +\infty \)
• Embedding theorems in constructive approximation
• Inverse theorems on approximation of periodic functions
• Multiplicator type operators and approximation of periodic functions of one variable by trigonometric polynomials

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