Minimum Norm Extremals in Function Spaces

With Applications to Classical and Modern Analysis

By: S.W. Fisher, J.W. Jerome

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Paperback | 1 September 1975

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224 Pages

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23.39 x 15.6 x 1.19

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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 polya algorithm for the favard solution, N-width characterizations and Whitney type theorems.- Application of the Riesz-Fredholm-Schauder theory to spline functions.- Epilogue.

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