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Optimization in Function Spaces

Jezik AngleščinaAngleščina
Knjiga Trda
Knjiga Optimization in Function Spaces Peter Kosmol
Koda Libristo: 12565937
Založba De Gruyter, februar 2011
This is an essentially self-contained book on the theory of convex functions and convex optimization... Celoten opis
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This is an essentially self-contained book on the theory of convex functions and convex optimization in Banach spaces, with a special interest in Orlicz spaces. Approximate algorithms based on the stability principles and the solution of the corresponding nonlinear equationsaredeveloped in this text.A synopsis of the geometry of Banach spaces, aspects of stability and the duality of different levels of differentiability and convexity is developed. And it isprovided a novel approach to the fundamental theorems of Variational Calculus based on the principle of pointwise minimization of the Lagrangian on the one hand and convexification by quadratic supplements using the classical Legendre-Ricatti equation on the other. The reader should be familiar with the concepts of mathematical analysis and linear algebra. Some awareness of the principles of measure theory will turn out to be helpful. The book is suitable for students of the second half of undergraduate studies, and it provides a rich set of material for a master course on linear and nonlinear functional analysis. Additionally it offers novel aspects at the advanced level.

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O knjigi

Polni naslov Optimization in Function Spaces
Jezik Angleščina
Vezava Knjiga - Trda
Datum izida 2011
Število strani 402
EAN 9783110250206
ISBN 3110250209
Koda Libristo 12565937
Založba De Gruyter
Teža 808
Mere 170 x 240 x 28
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