scientific article

zbMATH Open0716.46001MaRDI QIDQ3998837

V. I. Lebedev

Publication date: 17 September 1992

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

Banach contraction principleuniform boundedness principleFourier seriescompact operatorsapproximation problemsembedding theorems for Sobolev spacesLagrange interpolation processesFunctional spacesfunctional analytic approach to some problems and methods of numerical analysisgeneralized solutions for elliptic PDEIterative methods for solving linear operator equationsLinear operators and functionalsNewton type methods for solving nonlinear equationsone-step and multi-step iterative methods of Chebyshev and Newton type for operator equationsVishik-Lax-Milgram variational theorem

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Fixed-point theorems (47H10) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) Numerical solutions to equations with linear operators (65J10) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to functional analysis (46-01) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to numerical analysis (65-01) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to operator theory (47-01)

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