Some approximation problems for a class of functions with a prescribed majorant for the moduli of continuity of higher derivatives

DOI10.1007/BF01209372zbMath0802.41021OpenAlexW2054167100MaRDI QIDQ1324929

S. N. Kudryavtsev

Publication date: 21 July 1994

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01209372

zbMATH Keywords

modulus of continuity\(\varepsilon\)-entropyalgebraic diameterpartial differentiation operators

Mathematics Subject Classification ID

Saturation in approximation theory (41A40)

Cites Work

• Approximation of functions of several variables by polynomials with preservation of the differential-difference properties
• Approximations of compact sets of functions by piecewise polynomial surfaces in spaces of smooth functions
• Best approximation of unbounded by bounded operators, and allied problems
• PIECEWISE-POLYNOMIAL APPROXIMATIONS OF FUNCTIONS OF THE CLASSES $ W_{p}^{\alpha}$
• A Construction of Certain Nonlinear Approximating Families
• DEFORMATION OF METRIC SPACES AND SOME RELATED PROBLEMS OF THE THEORY OF FUNCTIONS
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