Direct and inverse theorems on approximation of solutions of operator equations

zbMATH Open0979.47008MaRDI QIDQ2735872

V. I. Gorbachuk, M. L. Gorbachuk

Publication date: 30 January 2002

Published in: Nonlinear Boundary Value Problems (Search for Journal in Brave)

zbMATH Keywords

approximation of solutionpositive operatoroperator equationboundary value conditionsrate of approximationRitz's approximationselfajoint positive operatorsmooth elements of operator

Mathematics Subject Classification ID

Linear symmetric and selfadjoint operators (unbounded) (47B25) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) Equations and inequalities involving linear operators, with vector unknowns (47A50) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Inverse theorems in approximation theory (41A27)

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