scientific article; zbMATH DE number 3355672

zbMath0224.41004MaRDI QIDQ5630131

I. I. Ibragimov, F. G. Nasibov

Publication date: 1970

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

Mathematics Subject Classification ID

Best approximation, Chebyshev systems (41A50) Rate of convergence, degree of approximation (41A25) Special classes of entire functions of one complex variable and growth estimates (30D15)

Related Items (13)

Exact constants in Jackson-type inequalities for the best mean square approximation in \(L_2(\mathbb{R})\) and exact values of mean \(\nu\)-widths of the classes of functions ⋮ Best mean-square approximation of functions defined on the real axis by entire functions of exponential type ⋮ On some extremal problems of approximation theory of functions on the real axis. I ⋮ On the moduli of continuity and fractional-order derivatives in the problems of best mean-square approximation by entire functions of the exponential type on the entire real axis ⋮ Dunkl's theory and best approximation by entire functions of exponential type in \(L_{2}\)-metric with power weight ⋮ A sharp Jackson-Chernykh type inequality for spline approximations on the line ⋮ Approximation by integral functions of finite degree in variable exponent Lebesgue spaces on the real axis ⋮ On the best mean square approximations by entire functions of exponential type in \(L_2(\mathbb R)\) and mean \(\nu\)-widths of some functional classes ⋮ On estimates in \(L_2(\mathbb{R} )\) of mean \(\nu \)-widths of classes of functions defined via the generalized modulus of continuity of \(\omega_\mathcal{M} \) ⋮ Two related extremal problems for entire functions of several variables ⋮ Jackson-Stechkin-type inequalities for the approximation of elements of Hilbert spaces ⋮ Best mean-square approximations by entire functions of exponential type and mean \(\nu\)-widths of classes of functions on the line ⋮ Optimal argument in the sharp Jackson inequality in the space \(L_2\) with hyperbolic weight

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