Details

Autor(en) / Beteiligte

• Fisher, Stephen D
• Jerome, Joseph W

Titel

Minimum Norm Extremals in Function Spaces : With Applications to Classical and Modern Analysis

Ist Teil von

• Lecture Notes in Mathematics : 479

Ort / Verlag

Berlin, Heidelberg : Springer Berlin Heidelberg

Erscheinungsjahr

1975

Link zum Volltext

• Volltext

Beschreibungen/Notizen

• Nonlinear minimization problems -- Minimization with linear operators -- Nonlinear operators in LP, 1<p?? -- L? Minimization problems for elliptic operators -- L1 minimization in one and several variables -- Sets of uniqueness in L? minimization problems -- Bang-Bang optimal controls -- A general theorem of Kuhn-Tucker type -- Stable and unstable elastica equilibrium and the problem of minimum curvature -- Approximation by extremals of nonlinear differential expressions in one variable and quadratic forms in several variables -- The trigonometric and algebraic favard problem -- Minimization and interpolation at integer points of the real axis -- The Landau problem and Kolmogorov�́�s theorem -- Perfect interpolating splines on compact intervals -- A p©đlya algorithm for the favard solution, N-width characterizations and Whitney type theorems -- Application of the Riesz-Fredholm-Schauder theory to spline functions -- Epilogue