On best approximations by analogs of ``proper and ``improper hyperbolic crosses

DOI10.1134/S0001434613030164zbMath1276.42003MaRDI QIDQ351643

N. N. Pustovoitov

Publication date: 8 July 2013

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

zbMATH Keywords

best approximation ordertrigonometric polynomialhyperbolic crossNikol'skii function classorthowidth

Mathematics Subject Classification ID

Trigonometric approximation (42A10)

Related Items (1)

On orders of approximation functions of generalized smoothness in Lorentz spaces

Cites Work

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• On approximation and characterization of periodic multivariate functions which have a majorant of the mixed moduli of continuity of specific kind
• Approximation of multidimensional functions with a given majorant of mixed moduli of continuity
• On the widths of multivariate periodic classes of functions whose mixed moduli of continuity are bounded by a product of power- and logarithmic-type functions
• The orthoprojection widths of some classes of periodic functions of two variables with a given majorant of the mixed moduli of continuity

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