Interpolation of Operators
Interpolation of Operators

Author: Colin Bennett

Publisher: Academic Press

Published: 1988-04-01

Total Pages: 489

ISBN-13: 0080874487

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This book presents interpolation theory from its classical roots beginning with Banach function spaces and equimeasurable rearrangements of functions, providing a thorough introduction to the theory of rearrangement-invariant Banach function spaces. At the same time, however, it clearly shows how the theory should be generalized in order to accommodate the more recent and powerful applications. Lebesgue, Lorentz, Zygmund, and Orlicz spaces receive detailed treatment, as do the classical interpolation theorems and their applications in harmonic analysis.The text includes a wide range of techniques and applications, and will serve as an amenable introduction and useful reference to the modern theory of interpolation of operators.

Interpolation of Functions
Interpolation of Functions

Author: J. Szabados

Publisher: World Scientific

Published: 1990

Total Pages: 328

ISBN-13: 9789971509156

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This book gives a systematic survey on the most significant results of interpolation theory in the last forty years. It deals with Lagrange interpolation including lower estimates, fine and rough theory, interpolatory proofs of Jackson and Teliakovski-Gopengauz theorems, Lebesgue function, Lebesgue constant of Lagrange interpolation, Bernstein and Erdös conjecture on the optimal nodes, the almost everywhere divergence of Lagrange interpolation for arbitrary system of nodes, Hermite-Fejer type and lacunary interpolation and other related topics.

Foundations of Intelligent Systems
Foundations of Intelligent Systems

Author: Ning Zhong

Publisher: Springer Science & Business Media

Published: 2003-10-10

Total Pages: 721

ISBN-13: 3540202560

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This volume contains the papers selected for presentation at the 14th International Symposium on Methodologies for Intelligent Systems, ISMIS 2003, held in Maebashi City, Japan, 28–31 October, 2003. The symposium was organized by the Maebashi Institute of Technology in co-operation with the Japanese Society for Artificial Intelligence. It was sponsored by the Maebashi Institute of Technology, Maebashi Convention Bureau, Maebashi City Government, Gunma Prefecture Government, US AFOSR/AOARD, the Web Intelligence Consortium (Japan), Gunma Information Service Industry Association, and Ryomo Systems Co., Ltd. ISMIS is a conference series that was started in 1986 in Knoxville, Tennessee. Since then it has been held in Charlotte (North Carolina), Knoxville (Tennessee), Turin (Italy), Trondheim (Norway), Warsaw (Poland), Zakopane (Poland), and Lyon (France). The program committee selected the following major areas for ISMIS 2003: active media human-computer interaction, autonomic and evolutionary computation, intelligent agent technology, intelligent information retrieval, intelligent information systems, knowledge representation and integration, knowledge discovery and data mining, logic for artificial intelligence, soft computing, and Web intelligence.

Interpolation Processes
Interpolation Processes

Author: Giuseppe Mastroianni

Publisher: Springer Science & Business Media

Published: 2008-08-24

Total Pages: 452

ISBN-13: 3540683496

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Interpolation of functions is one of the basic part of Approximation Theory. There are many books on approximation theory, including interpolation methods that - peared in the last fty years, but a few of them are devoted only to interpolation processes. An example is the book of J. Szabados and P. Vértesi: Interpolation of Functions, published in 1990 by World Scienti c. Also, two books deal with a special interpolation problem, the so-called Birkhoff interpolation, written by G.G. Lorentz, K. Jetter, S.D. Riemenschneider (1983) and Y.G. Shi (2003). The classical books on interpolation address numerous negative results, i.e., - sultsondivergentinterpolationprocesses,usuallyconstructedoversomeequidistant system of nodes. The present book deals mainly with new results on convergent - terpolation processes in uniform norm, for algebraic and trigonometric polynomials, not yet published in other textbooks and monographs on approximation theory and numerical mathematics. Basic tools in this eld (orthogonal polynomials, moduli of smoothness,K-functionals, etc.), as well as some selected applications in numerical integration, integral equations, moment-preserving approximation and summation of slowly convergent series are also given. The rstchapterprovidesanaccountofbasicfactsonapproximationbyalgebraic and trigonometric polynomials introducing the most important concepts on appro- mation of functions. Especially, in Sect. 1.4 we give basic results on interpolation by algebraic polynomials, including representations and computation of interpolation polynomials, Lagrange operators, interpolation errors and uniform convergence in some important classes of functions, as well as an account on the Lebesgue function and some estimates for the Lebesgue constant.

Spatial Interpolation for Climate Data
Spatial Interpolation for Climate Data

Author: Hartwig Dobesch

Publisher: John Wiley & Sons

Published: 2013-03-01

Total Pages: 338

ISBN-13: 1118614992

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This title gives an authoritative look at the use of Geographical Information Systems (GIS) in climatology and meterology. GIS provides a range of strategies, from traditional methods, such as those for hydromet database analysis and management, to new developing methods. As such, this book will provide a useful reference tool in this important aspect of climatology and meterology study.

Interpolation in Thucydides
Interpolation in Thucydides

Author: K. Maurer

Publisher: BRILL

Published: 2018-07-17

Total Pages: 271

ISBN-13: 9004329552

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The scraps of hard evidence are carefully sifted from the putative so as to uncover the probable extent and nature of interpolation in Thucydides. This gives a coarse but firm “typology,” which may be of some use in the study of other MS traditions, and clarifies hard passages many of which are discussed in depth, so that the book's Index Locorum can be a tool for students of this author. Separate chapters examine evidence given by MS disagreement, by a long inscription, by papyri, by scholiasts, by Valla's translation and more. A chapter analyzes the types of mechanical “interpolation” another, the hypothesis of Hellenistic “editing.” Constant close attention is paid to the stemma codicum (discussed also in an appendix) and to the smallest idiosyncrasies of Thucydides' style.