Estimates of the best approximations of periodic functions by trigonometric polynomials in terms of averaged differences and the multidimensional Jackson's theorem

Trigonometric approximation (42A10) Best approximation, Chebyshev systems (41A50) Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17) Multidimensional problems (41A63) Harmonic analysis in several variables (42B99)

Related Items (8)

Generalized smoothness characteristics in Jackson-type inequalities and widths of classes of functions in $L_2$ ⋮ Jackson-Stechkin Inequality and Values of Widths of Some Classes of Functions in $L_2$ ⋮ Inequalities between best polynomial approximations and some smoothness characteristics in the space $L_2$ and widths of classes of functions ⋮ On moduli of smoothness and averaged differences of fractional order ⋮ 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 ⋮ Inequalities between best polynomial approximants and smoothness characteristics of functions in $L_2$ ⋮ Jackson-type inequalities with generalized modulus of continuity and exact values of the $n$-widths for the classes of $(\psi,\beta)$-differentiable functions in $L_2$. III ⋮ Some inequalities between the best polynomial approximations and averaged finite-difference norms in space $L_2$

This page was built for publication: Estimates of the best approximations of periodic functions by trigonometric polynomials in terms of averaged differences and the multidimensional Jackson's theorem