The exact constant in the Jackson inequality in \(L^ 2\)
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Publication:1086763
DOI10.1007/BF01156673zbMath0609.42002MaRDI QIDQ1086763
Publication date: 1986
Published in: Mathematical Notes (Search for Journal in Brave)
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Exact constants in direct and inverse approximation theorems for functions of several variables in the spaces Sp ⋮ Jackson-type inequalities with generalized modulus of continuity and exact values of the \(n\)-widths for the classes of \((\psi,\beta)\)-differentiable functions in \(L_2\). I ⋮ A sharp Jackson-Chernykh type inequality for spline approximations on the line ⋮ Exact constants in Jackson-type inequalities and exact values of the widths of some classes of functions in \(L_{2}\) ⋮ \(n\)-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 ⋮ 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 ⋮ Structural characteristics of functions from \(L_2\) and the exact values of widths of some functional classes ⋮ Direct and inverse approximation theorems of functions in the Musielak-Orlicz type spaces ⋮ An exact inequality of Jackson-Chernykh type for spline approximations of periodic functions ⋮ Jackson-type inequalities in the spaces \(S^{(p,q)} (\sigma^{m -1})\) ⋮ Direct and inverse approximation theorems in the Besicovitch-Musielak-Orlicz spaces of almost periodic functions
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