Optimal Recovery of Analytic Functions
Author | : K. Yu Osipenko |
Publisher | : Nova Publishers |
Total Pages | : 230 |
Release | : 2000 |
Genre | : Computers |
ISBN | : 9781560728214 |
Optimal Recovery of Analytic Functions
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Author | : K. Yu Osipenko |
Publisher | : Nova Publishers |
Total Pages | : 230 |
Release | : 2000 |
Genre | : Computers |
ISBN | : 9781560728214 |
Optimal Recovery of Analytic Functions
Author | : Peter R. Turner |
Publisher | : Springer |
Total Pages | : 190 |
Release | : 2006-11-14 |
Genre | : Mathematics |
ISBN | : 3540394125 |
Author | : Georgii G. Magaril-Ilʹyaev |
Publisher | : American Mathematical Soc. |
Total Pages | : 196 |
Release | : |
Genre | : Mathematics |
ISBN | : 9780821889640 |
This book is an introduction to convex analysis and some of its applications. It starts with basis theory, which is explained within the framework of finite-dimensional spaces. The only prerequisites are basic analysis and simple geometry. The second chapter presents some applications of convex analysis, including problems of linear programming, geometry, and approximation. Special attention is paid to applications of convex analysis to Kolmogorov-type inequalities for derivatives of functions is one variable. Chapter 3 collects some results on geometry and convex analysis in infinite-dimensional spaces. A comprehensive introduction written "for beginners" illustrates the fundamentals of convex analysis in finite-dimensional spaces. The book can be used for an advanced undergraduate or graduate level course on convex analysis and its applications. It is also suitable for independent study of this extremely important area of mathematics.
Author | : Charles Michelli |
Publisher | : Springer Science & Business Media |
Total Pages | : 302 |
Release | : 2013-11-22 |
Genre | : Science |
ISBN | : 1468423886 |
The papers in this volume were presented at an International Symposium on Optimal Estimation in Approximation Theory which was held in Freudenstadt, Federal Republic of Germany, September 27-29, 1976. The symposium was sponsored by the IBM World Trade Europe/Middle East/Africa Corporation, Paris, and IBM Germany. On behalf of all the participants we wish to express our appreciation to the spon sors for their generous support. In the past few years the quantification of the notion of com plexity for various important computational procedures (e. g. multi plication of numbers or matrices) has been widely studied. Some such concepts are necessary ingredients in the quest for optimal, or nearly optimal, algorithms. The purpose of this symposium was to present recent results of similar character in the field or ap proximation theory, as well as to describe the algorithms currently being used in important areas of application of approximation theory such as: crystallography, data transmission systems, cartography, reconstruction from x-rays, planning of radiation treatment, optical perception, analysis of decay processes and inertial navigation system control. It was the hope of the organizers that this con frontation of theory and practice would be of benefit to both groups. Whatever success th•~ symposium had is due, in no small part, to the generous and wise scientific counsel of Professor Helmut Werner, to whom the organizers are most grateful. Dr. T. J. Rivlin Dr. P. Schweitzer IBM T. J. Watson Research Center IBM Germany Scientific and Education Programs Yorktown Heights, N. Y.
Author | : B. Bojanov |
Publisher | : |
Total Pages | : 348 |
Release | : 1992 |
Genre | : Approximation theory |
ISBN | : |
Invited and selected talks from the Second International Symposium on Optimal Algorithms held in Varna, Bulgaria, May-June 1989, cover different aspects of the problem of recovery of functions and functionals on the basis of partial information. The papers are mainly oriented on best approximation, information based complexity, and optimal numerica
Author | : Dang D. Ang |
Publisher | : Springer |
Total Pages | : 188 |
Release | : 2004-10-13 |
Genre | : Mathematics |
ISBN | : 3540456589 |
Moment Theory is not a new subject; however, in classical treatments, the ill-posedness of the problem is not taken into account - hence this monograph. Assuming a "true" solution to be uniquely determined by a sequence of moments (given as integrals) of which only finitely many are inaccurately given, the authors describe and analyze several regularization methods and derive stability estimates. Mathematically, the task often consists in the reconstruction of an analytic or harmonic function, as is natural from concrete applications discussed (e.g. inverse heat conduction problems, Cauchy's problem for the Laplace equation, gravimetry). The book can be used in a graduate or upper undergraduate course in Inverse Problems, or as supplementary reading for a course on Applied Partial Differential Equations.
Author | : Revaz V. Gamkrelidze |
Publisher | : Springer Science & Business Media |
Total Pages | : 262 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 3642612679 |
Intended for a wide range of readers, this book covers the main ideas of convex analysis and approximation theory. The author discusses the sources of these two trends in mathematical analysis, develops the main concepts and results, and mentions some beautiful theorems. The relationship of convex analysis to optimization problems, to the calculus of variations, to optimal control and to geometry is considered, and the evolution of the ideas underlying approximation theory, from its origins to the present day, is discussed. The book is addressed both to students who want to acquaint themselves with these trends and to lecturers in mathematical analysis, optimization and numerical methods, as well as to researchers in these fields who would like to tackle the topic as a whole and seek inspiration for its further development.
Author | : Australian Mathematical Society. Summer Research Institute |
Publisher | : American Mathematical Soc. |
Total Pages | : 418 |
Release | : 1982 |
Genre | : Mathematics |
ISBN | : 0821850091 |