scientific article; zbMATH DE number 3260007
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Publication:5546049
zbMath0162.36101MaRDI QIDQ5546049
Publication date: 1967
Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Trigonometric approximation (42A10) Best approximation, Chebyshev systems (41A50) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65)
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Direct and inverse theorems on the approximation of functions by Fourier-Laplace sums in the spaces \(S^{(p,q)}(\sigma^m)\) ⋮ Exact constants in direct and inverse approximation theorems for functions of several variables in the spaces Sp ⋮ Widths of certain classes of periodic functions in \(L_2\) ⋮ Unnamed Item ⋮ Jackson-type inequalities and widths of functional classes in the Musielak-Orlicz type spaces ⋮ \(n\)-widths of certain function classes defined by the modulus of continuity ⋮ On the best approximation in the mean by algebraic polynomials with weight and the exact values of widths for the classes of functions ⋮ Approximation in \(L_2\) by partial integrals of the multidimensional Fourier transform over the eigenfunctions of the Sturm-Liouville operator ⋮ Upper bounds for the approximation of certain classes of functions of a complex variable by Fourier series in the space \(L_2\) and \(n\)-widths ⋮ Widths of some functional classes in the space \(L_2\) on a period ⋮ Structural characteristics of functions from \(L_2\) and the exact values of widths of some functional classes ⋮ An estimate of an optimal argument in the sharp multidimensional Jackson-Stechkin \(L_2\)-inequality ⋮ Generalized Jackson inequality in the space \(L_2(\mathbb{R}^{d})\) with Dunkl weight ⋮ Approximation of the multidimensional Jacobi transform in \(L_2\) by partial integrals ⋮ Jackson-Stechkin-type inequalities for the approximation of elements of Hilbert spaces ⋮ Direct and inverse approximation theorems of functions in the Musielak-Orlicz type spaces ⋮ Optimal arguments in the Jackson-Stechkin inequality in \(L_2(\mathbb R^d)\) with Dunkl weight ⋮ Optimal argument in the sharp Jackson inequality in the space \(L_2\) with hyperbolic weight
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