Linear finite functional in the weighted Sobolev space

DOI10.17223/19988621/81/2zbMath1529.46026MaRDI QIDQ6175257

Igor' Vital'Evich Korytov

Publication date: 21 July 2023

Published in: Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mekhanika (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/vtgu973

zbMATH Keywords

weighted Sobolev spaceClarkson inequalitiesextreme functionintegral representation of functionalnorm of functionallinear finite functional

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Nonlinear elliptic equations (35J60)

Cites Work

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• Asymptotic optimality of sequences of formulas with a regular boundary layer for odd m
• Representation of functionals on the spaces \(L_ p^ m(E_ n)\)
• On cubature formulas with regular boundary layer
• Representation of linear functionals in \(L_ q^{m*} (\Omega)\)
• Errors, condition numbers, and guaranteed accuracy of higher-dimensional spherical cubatures
• On an optimal quadrature formula in Sobolev space \(L^{(m)}_2(0,1)\)
• Optimal quadrature formula in the sense of Sard in K2(P3) space
• Extremal functions of cubature formulas on a multidimensional sphere and spherical splines
• OPTIMAL QUADRATURE FORMULAS FOR FOURIER COEFFICIENTS IN <i>W</i>₂^{(<i>m</i>,<i>m</i>-1)} 2 SPACE
• Optimization of numerical processes

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