DIRECT AND CONVERSE THEOREMS OF JACKSON TYPE IN $ L^p$ SPACES, $ 0<p<1$

DOI10.1070/SM1975V027N03ABEH002519zbMath0372.41004OpenAlexW1963681098MaRDI QIDQ4150122

P. Osval'd, V. G. Krotov, Eleonora A. Storozhenko

Publication date: 1977

Published in: Mathematics of the USSR-Sbornik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/sm1975v027n03abeh002519

Mathematics Subject Classification ID

Trigonometric approximation (42A10) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Best approximation, Chebyshev systems (41A50) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) Approximation by polynomials (41A10)

Related Items (9)

Jackson-type theorem in the weak $L_{1}$-space ⋮ Best approximations and moduli of smoothness of functions and their derivatives in \(L_p\), \(0 < p < 1\) ⋮ On moduli of smoothness and averaged differences of fractional order ⋮ On a necessary condition for $L^p$ $(0 < p < 1)$-convergence (upper boundedness) of trigonometric series ⋮ Exact constants in Jackson-type inequalities and exact values of the widths of some classes of functions in \(L_{2}\) ⋮ Sharp estimates of approximation of periodic functions in Hölder spaces ⋮ The modulus of continuity and the best approximation over the dyadic group ⋮ Sharp inequalities between the best root-mean-square approximations of analytic functions in the disk and some smoothness characteristics in the Bergman space ⋮ On some approximation properties of real Hardy spaces \((0<p\leq 1)\)

This page was built for publication: DIRECT AND CONVERSE THEOREMS OF JACKSON TYPE IN $ L^p$ SPACES, $ 0<p<1$