Best mean-square approximations by entire functions of exponential type and mean \(\nu\)-widths of classes of functions on the line

Related Items (6)

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 ⋮ 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 ⋮ Approximation by integral functions of finite degree in variable exponent Lebesgue spaces on the real axis ⋮ Generalized characteristics of smoothness and some extreme problems of the approximation theory of functions in the space \(L_2(\mathbb{R})\). II ⋮ On estimates in \(L_2(\mathbb{R} )\) of mean \(\nu \)-widths of classes of functions defined via the generalized modulus of continuity of \(\omega_\mathcal{M} \) ⋮ Generalized characteristics of smoothness and some extreme problems of the approximation theory of functions in the space \(L_2(\mathbb{R})\). I

Cites Work

This page was built for publication: Best mean-square approximations by entire functions of exponential type and mean \(\nu\)-widths of classes of functions on the line