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Author: G. P. Safronova Publisher: ISBN: Category : Languages : en Pages : 14
Book Description
Results announced without proof by S.M. Lozinskii are transferred to the complex domain. The author considers functions continuous on D and analytic in D, where D is the interior of a Jordan curve formed by a finite number of smooth arcs with non-zero angles at the join points. The method of the proof differs only in insignificant details from that yielding the theorems of Lozinskii. (Author).
Author: G. P. Safronova Publisher: ISBN: Category : Languages : en Pages : 14
Book Description
Results announced without proof by S.M. Lozinskii are transferred to the complex domain. The author considers functions continuous on D and analytic in D, where D is the interior of a Jordan curve formed by a finite number of smooth arcs with non-zero angles at the join points. The method of the proof differs only in insignificant details from that yielding the theorems of Lozinskii. (Author).
Author: Michiel Hazewinkel Publisher: Springer Science & Business Media ISBN: 9400903650 Category : Mathematics Languages : en Pages : 743
Book Description
This ENCYCLOPAEDIA OF MATHEMATICS aims to be a reference work for all parts of mathe matics. It is a translation with updates and editorial comments of the Soviet Mathematical Encyclopaedia published by 'Soviet Encyclopaedia Publishing House' in five volumes in 1977-1985. The annotated translation consists of ten volumes including a special index volume. There are three kinds of articles in this ENCYCLOPAEDIA. First of all there are survey-type articles dealing with the various main directions in mathematics (where a rather fine subdivi sion has been used). The main requirement for these articles has been that they should give a reasonably complete up-to-date account of the current state of affairs in these areas and that they should be maximally accessible. On the whole, these articles should be understandable to mathematics students in their first specialization years, to graduates from other mathematical areas and, depending on the specific subject, to specialists in other domains of science, en gineers and teachers of mathematics. These articles treat their material at a fairly general level and aim to give an idea of the kind of problems, techniques and concepts involved in the area in question. They also contain background and motivation rather than precise statements of precise theorems with detailed definitions and technical details on how to carry out proofs and constructions. The second kind of article, of medium length, contains more detailed concrete problems, results and techniques.
Author: Michael I. Ganzburg Publisher: American Mathematical Soc. ISBN: 0821840630 Category : Mathematics Languages : en Pages : 178
Book Description
The author develops the limit relations between the errors of polynomial approximation in weighted metrics and apply them to various problems in approximation theory such as asymptotically best constants, convergence of polynomials, approximation of individual functions, and multidimensional limit theorems of polynomial approximation.
Author: Sorin G. Gal Publisher: Springer Science & Business Media ISBN: 1461470986 Category : Mathematics Languages : en Pages : 206
Book Description
This monograph deals with the quantitative overconvergence phenomenon in complex approximation by various operators. The book is divided into three chapters. First, the results for the Schurer-Faber operator, Beta operators of first kind, Bernstein-Durrmeyer-type operators and Lorentz operator are presented. The main focus is on results for several q-Bernstein kind of operators with q > 1, when the geometric order of approximation 1/qn is obtained not only in complex compact disks but also in quaternion compact disks and in other compact subsets of the complex plane. The focus then shifts to quantitative overconvergence and convolution overconvergence results for the complex potentials generated by the Beta and Gamma Euler's functions. Finally quantitative overconvergence results for the most classical orthogonal expansions (of Chebyshev, Legendre, Hermite, Laguerre and Gegenbauer kinds) attached to vector-valued functions are presented. Each chapter concludes with a notes and open problems section, thus providing stimulation for further research. An extensive bibliography and index complete the text. This book is suitable for researchers and graduate students working in complex approximation and its applications, mathematical analysis and numerical analysis.
Author: Publisher: ISBN: Category : Aeronautics Languages : en Pages : 750
Book Description
Lists citations with abstracts for aerospace related reports obtained from world wide sources and announces documents that have recently been entered into the NASA Scientific and Technical Information Database.
Author: Reiner Kuhnau Publisher: Elsevier ISBN: 0080532810 Category : Mathematics Languages : en Pages : 549
Book Description
Geometric Function Theory is a central part of Complex Analysis (one complex variable). The Handbook of Complex Analysis - Geometric Function Theory deals with this field and its many ramifications and relations to other areas of mathematics and physics. The theory of conformal and quasiconformal mappings plays a central role in this Handbook, for example a priori-estimates for these mappings which arise from solving extremal problems, and constructive methods are considered. As a new field the theory of circle packings which goes back to P. Koebe is included. The Handbook should be useful for experts as well as for mathematicians working in other areas, as well as for physicists and engineers.· A collection of independent survey articles in the field of GeometricFunction Theory · Existence theorems and qualitative properties of conformal and quasiconformal mappings · A bibliography, including many hints to applications in electrostatics, heat conduction, potential flows (in the plane)
Author: G. P. Safronova
Author: G. P. Safronova
Author: Vladimir Ivanovich Smirnov
Author: Michiel Hazewinkel
Author: Vladimir Ivanovich Smirnov
Author: Michael I. Ganzburg
Author: M. Hazewinkel
Author: Sorin G. Gal
Author: 
Author: Reiner Kuhnau
Author: V. P. Havin