Optimal cubature formulas on classes of periodic functions in several variables

DOI10.1134/S0081543821010028zbMath1467.65018OpenAlexW3158429193WikidataQ113785944 ScholiaQ113785944MaRDI QIDQ828584

N. E. Zubov

Publication date: 5 May 2021

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0081543821010028

zbMATH Keywords

cubature formulasmultivariate functionsperiodic functions

Mathematics Subject Classification ID

Approximate quadratures (41A55) Numerical quadrature and cubature formulas (65D32) Numerical integration (65D30)

Cites Work

• Nonlinear approximations of classes of periodic functions of many variables
• Wavelet approximation and Fourier widths of classes of periodic functions of several variables. I
• Zur angenäherten Berechnung mehrfacher Integrale
• Theory of function spaces II
• Theorems on extension, multipliers and diffeomorphisms for generalized Sobolev-Liouville classes in domains with a Lipschitz boundary
• Hyperbolic cross approximation. Lecture notes given at the courses on constructive approximation and harmonic analysis, Barcelona, Spain, May 30 -- June 3, 2016
• Change of variable in spaces of mixed smoothness and numerical integration of multivariate functions on the unit cube
• A lower bound for the asymptotic characteristics of classes of functions with dominating mixed derivative
• The Role of Frolov's Cubature Formula for Functions with Bounded Mixed Derivative
• On Restrictions and Extensions of the Besov and Triebel-Lizorkin Spaces with Respect to Lipschitz Domains
• CUBATURE FORMULAS FOR CLASSES OF FUNCTIONS WITH BOUNDED MIXED DIFFERENCE
• Cubature formulae for Besov classes
• Multivariate Approximation
• ON A WAY OF OBTAINING LOWER ESTIMATES FOR THE ERRORS OF QUADRATURE FORMULAS
• Function spaces with dominating mixed smoothness
• Some Maximal Inequalities
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