Approximation by trigonometric polynomials in the framework of variable exponent grand Lebesgue spaces

DOI10.1515/gmj-2015-0059zbMath1336.42001OpenAlexW2323652898MaRDI QIDQ255134

Nina Danelia, Vakhtang Kokilashvili

Publication date: 9 March 2016

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

Full work available at URL: https://doi.org/10.1515/gmj-2015-0059

zbMATH Keywords

trigonometric polynomialsbest approximationBernstein-type inequalitymaximal functionsmoduli of smoothnessconjugate functionsvariable exponent grand Lebesgue spaces

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Maximal functions, Littlewood-Paley theory (42B25) Function spaces arising in harmonic analysis (42B35) Trigonometric approximation (42A10) Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17) Conjugate functions, conjugate series, singular integrals (42A50) Trigonometric polynomials, inequalities, extremal problems (42A05)

Related Items (7)

Jackson-type theorem in the weak $L_{1}$-space ⋮ On approximation of functions by rational functions in weighted generalized grand Smirnov classes ⋮ Local grand variable exponent Lebesgue spaces ⋮ Weighted variable exponent grand Lebesgue spaces and inequalities of approximation ⋮ The inclusion theorems for generalized variable exponent grand Lebesgue spaces ⋮ Unnamed Item ⋮ Approximation by matrix transforms in generalized grand Lebesgue spaces with variable exponent

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