Approximation by trigonometric polynomials in rearrangement invariant quasi Banach function spaces

DOI10.1007/s00009-014-0389-yzbMath1311.41008OpenAlexW2035427086MaRDI QIDQ2018691

Sadulla Z. Jafarov

Publication date: 25 March 2015

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00009-014-0389-y

zbMATH Keywords

best approximationrearrangement invariant spacesmoduli of smoothnesstrigonometric approximationrearrangement invariant quasi Banach function space

Mathematics Subject Classification ID

Trigonometric approximation (42A10) Approximation by rational functions (41A20) Rate of convergence, degree of approximation (41A25) Simultaneous approximation (41A28)

Related Items (2)

Derivatives of a polynomial of best approximation and modulus of smoothness in generalized Lebesgue spaces with variable exponent ⋮ Approximations of fuzzy numbers by step type fuzzy numbers

Cites Work

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• Approximation by polynomials in rearrangement invariant quasi Banach function spaces
• Approximation by rational functions in Smirnov-Orlicz classes
• On converse theorems of trigonometric approximation in weighted variable exponent Lebesgue spaces
• Trigonometric approximation of functions in generalized Lebesgue spaces with variable exponent
• Approximation by polynomials and rational functions in weighted rearrangement invariant spaces
• On approximation by polynomials and rational functions in Orlicz spaces
• Sums of independent random variables in rearrangement invariant function spaces
• Singular integral operators with piecewise continuous coefficients in reflexive rearrangement-invariant spaces
• Moduli of smoothness and \(K\)-functionals in \(L_ p\), \(0<p<1\)
• Classical Banach spaces. 1: Sequence spaces. 2. Function spaces.
• Extrapolation with weights, rearrangement-invariant function spaces, modular inequalities and applications to singular integrals
• Simultaneous and converse approximation theorems in weighted Lebesgue spaces
• The inverse theorem of approximation theory in Smirnov-Orlicz classes
• Moduli of smoothness of functions and their derivatives
• On moduli of smoothness and Fourier multipliers in L p , 0 < p< 1
• Approximation by trigonometric polynomials in weighted rearrangement invariant spaces
• Convexity conditions for non-locally convex lattices
• Best Trigonometric Approximation, Fractional Order Derivatives and Lipschitz Classes
• Approximation by trigonometric polynomials in weighted Orlicz spaces
• On approximation in weighted Smirnov–Orlicz classes
• Some remarks on multilinear maps and interpolation
• Approximation by \(p\)-Faber polynomials in the weighted Smirnov class \(E^p(G,\omega)\) and the Bieberbach polynomials

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