Convergence Problems Of Orthogonal Series
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Convergence Problems Of Orthogonal Series
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Author : György Alexits
language : en
Publisher: Pergamon
Release Date : 1961
Convergence Problems Of Orthogonal Series written by György Alexits and has been published by Pergamon this book supported file pdf, txt, epub, kindle and other format this book has been release on 1961 with Mathematics categories.
Convergence Problems Of Orthogonal Series
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Author : G. Alexits
language : en
Publisher: Elsevier
Release Date : 2014-07-23
Convergence Problems Of Orthogonal Series written by G. Alexits and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-07-23 with Mathematics categories.
Convergence Problems of Orthogonal Series deals with the theory of convergence and summation of the general orthogonal series in relation to the general theory and classical expansions. The book reviews orthogonality, orthogonalization, series of orthogonal functions, complete orthogonal systems, and the Riesz-Fisher theorem. The text examines Jacobi polynomials, Haar's orthogonal system, and relations to the theory of probability using Rademacher's and Walsh's orthogonal systems. The book also investigates the convergence behavior of orthogonal series by methods belonging to the general theory of series. The text explains some Tauberian theorems and the classical Abel transform of the partial sums of a series which the investigator can use in the theory of orthogonal series. The book examines the importance of the Lebesgue functions for convergence problems, the generalization of the Walsh series, the order of magnitude of the Lebesgue functions, and the Lebesgue functions of the Cesaro summation. The text also deals with classical convergence problems in which general orthogonal series have limited significance as orthogonal expansions react upon the structural properties of the expanded function. This reaction happens under special assumptions concerning the orthogonal system in whose functions the expansion proceeds. The book can prove beneficial to mathematicians, students, or professor of calculus and advanced mathematics.
Convergence Problems Of Orthogonal Series
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Author : Alexits György
language : en
Publisher: Pergamon
Release Date : 1961
Convergence Problems Of Orthogonal Series written by Alexits György and has been published by Pergamon this book supported file pdf, txt, epub, kindle and other format this book has been release on 1961 with Mathematics categories.
A Method Of Averaging In The Theory Of Orthogonal Series And Some Problems In The Theory Of Bases
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Author : Sergeĭ Viktorovich Bochkarev
language : en
Publisher: American Mathematical Soc.
Release Date : 1980
A Method Of Averaging In The Theory Of Orthogonal Series And Some Problems In The Theory Of Bases written by Sergeĭ Viktorovich Bochkarev and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1980 with Mathematics categories.
"Investigate various forms of convergence of Fourier series in general orthonormal systems as well as certain problems in the theory of bases" -- Introduction.
Convergence Problems Of Orthogonal Series
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Author : George Alexits
language : en
Publisher:
Release Date : 1961
Convergence Problems Of Orthogonal Series written by George Alexits and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1961 with categories.
Convergence Problems Of Orthogonal Series
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Author : György Alexits
language : en
Publisher:
Release Date : 1961
Convergence Problems Of Orthogonal Series written by György Alexits and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1961 with categories.
Inequalities And Extremal Problems In Probability And Statistics
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Author : Iosif Pinelis
language : en
Publisher: Academic Press
Release Date : 2017-05-10
Inequalities And Extremal Problems In Probability And Statistics written by Iosif Pinelis and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-05-10 with Mathematics categories.
Inequalities and Extremal Problems in Probability and Statistics: Selected Topics presents various kinds of useful inequalities that are applicable in many areas of mathematics, the sciences, and engineering. The book enables the reader to grasp the importance of inequalities and how they relate to probability and statistics. This will be an extremely useful book for researchers and graduate students in probability, statistics, and econometrics, as well as specialists working across sciences, engineering, financial mathematics, insurance, and mathematical modeling of large risks. - Teaches users how to understand useful inequalities - Applicable across mathematics, sciences, and engineering - Presented by a team of leading experts
Advanced Mathematical Techniques In Engineering Sciences
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Author : Mangey Ram
language : en
Publisher: CRC Press
Release Date : 2018-05-04
Advanced Mathematical Techniques In Engineering Sciences written by Mangey Ram and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-05-04 with Mathematics categories.
The goal of this book is to publish the latest mathematical techniques, research, and developments in engineering. This book includes a comprehensive range of mathematics applied in engineering areas for different tasks. Various mathematical tools, techniques, strategies, and methods in engineering applications are covered in each chapter. Mathematical techniques are the strength of engineering sciences and form the common foundation of all novel disciplines within the field. Advanced Mathematical Techniques in Engineering Sciences provides an ample range of mathematical tools and techniques applied across various fields of engineering sciences. Using this book, engineers will gain a greater understanding of the practical applications of mathematics in engineering sciences. Features Covers the mathematical techniques applied in engineering sciences Focuses on the latest research in the field of engineering applications Provides insights on an international and transnational scale Offers new studies and research in modeling and simulation
Selected Works Of Donald L Burkholder
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Author : Burgess Davis
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-02-18
Selected Works Of Donald L Burkholder written by Burgess Davis and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-02-18 with Mathematics categories.
This book chronicles Donald Burkholder's thirty-five year study of martingales and its consequences. Here are some of the highlights. Pioneering work by Burkholder and Donald Austin on the discrete time martingale square function led to Burkholder and Richard Gundy's proof of inequalities comparing the quadratic variations and maximal functions of continuous martingales, inequalities which are now indispensable tools for stochastic analysis. Part of their proof showed how novel distributional inequalities between the maximal function and quadratic variation lead to inequalities for certain integrals of functions of these operators. The argument used in their proof applies widely and is now called the Burkholder-Gundy good lambda method. This uncomplicated and yet extremely elegant technique, which does not involve randomness, has become important in many parts of mathematics. The continuous martingale inequalities were then used by Burkholder, Gundy, and Silverstein to prove the converse of an old and celebrated theorem of Hardy and Littlewood. This paper transformed the theory of Hardy spaces of analytic functions in the unit disc and extended and completed classical results of Marcinkiewicz concerning norms of conjugate functions and Hilbert transforms. While some connections between probability and analytic and harmonic functions had previously been known, this single paper persuaded many analysts to learn probability. These papers together with Burkholder's study of martingale transforms led to major advances in Banach spaces. A simple geometric condition given by Burkholder was shown by Burkholder, Terry McConnell, and Jean Bourgain to characterize those Banach spaces for which the analog of the Hilbert transform retains important properties of the classical Hilbert transform. Techniques involved in Burkholder's usually successful pursuit of best constants in martingale inequalities have become central to extensive recent research into two well- known open problems, one involving the two dimensional Hilbert transform and its connection to quasiconformal mappings and the other a conjecture in the calculus of variations concerning rank-one convex and quasiconvex functions. This book includes reprints of many of Burkholder's papers, together with two commentaries on his work and its continuing impact.
Mathematical Analysis
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Author : G. Ye. Shilov
language : en
Publisher: Elsevier
Release Date : 2016-06-06
Mathematical Analysis written by G. Ye. Shilov and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-06-06 with Mathematics categories.
Mathematical Analysis: A Special Course focuses on the study of mathematical analysis. The book first discusses set theory, including operations on sets, countable sets, equivalence of sets, and sets of the power of the continuum. The text also discusses the elements of the theory of metric and normed linear spaces. Topics include convergent sequences and closed sets; theorem of the fixed point; normed linear spaces; and continuous functions and compact spaces. The selection also discusses the calculus of variations; the theory of the integral; and geometry of Hilbert space. The text also covers differentiation and integration, including functions of bounded variation, derivative of a non-decreasing function, differentiation of functions of sets, and the Stieltjes integral. The book also looks at the Fourier transform. Topics include convergence of Fourier series; Laplace transform; Fourier transform in the case of various independent variables; and quasi-analytic classes of functions. The text is a valuable source of data for readers interested in the study of mathematical analysis.