Author | Fisher, Stephen D. author |
---|---|

Title | Minimum Norm Extremals in Function Spaces [electronic resource] : With Applications to Classical and Modern Analysis / by Stephen D. Fisher, Joseph W. Jerome |

Imprint | Berlin, Heidelberg : Springer Berlin Heidelberg, 1975 |

Connect to | http://dx.doi.org/10.1007/BFb0097059 |

Descript | X, 214 p. online resource |

CONTENT

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 Kolmogorovโ{128}{153}s theorem -- Perfect interpolating splines on compact intervals -- A pรณlya algorithm for the favard solution, N-width characterizations and Whitney type theorems -- Application of the Riesz-Fredholm-Schauder theory to spline functions -- Epilogue

Mathematics
Mathematical analysis
Analysis (Mathematics)
Mathematics
Analysis