Approximation of functions and their conjugates in variable Lebesgue spaces
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Publication:5272548
DOI10.1070/SM8636zbMath1371.41009MaRDI QIDQ5272548
Publication date: 30 June 2017
Published in: Sbornik: Mathematics (Search for Journal in Brave)
\(K\)-functionalconjugate functiongeneralized modulus of continuityvariable Lebesgue spacevariable Sobolev spacedirect and inverse approximation theorems
Continuity and related questions (modulus of continuity, semicontinuity, discontinuities, etc.) for real functions in one variable (26A15) Lipschitz (Hölder) classes (26A16) Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17) Approximation by polynomials (41A10)
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Approximation by linear means of Fourier series and realization functionals in weighted Orlicz spaces ⋮ Exponential approximation in variable exponent Lebesgue spaces on the real line ⋮ Unnamed Item ⋮ Realization functionals and description of a modulus of smoothness in variable exponent Lebesgue spaces ⋮ On approximation properties of functions by means of Fourier and Faber series in weighted Lebesgue spaces with variable exponent ⋮ Approximation in variable exponent spaces and growth of norms of trigonometric polynomials ⋮ Unnamed Item ⋮ Direct and Inverse Theorems in Variable Exponent Smirnov Classes ⋮ Linear methods of approximation in weighted Lebesgue spaces with variable exponent ⋮ Maximal convergence of Faber series in Smirnov classes with variable exponent ⋮ Approximation by Zygmund means in variable exponent Lebesque spaces ⋮ Approximation by matrix transforms in generalized grand Lebesgue spaces with variable exponent
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