Special Integral Operators: Weierstrass operators and related integrals

Special Integral Operators: Weierstrass operators and related integrals PDF Author: George Olatokunbo Okikiolu
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 334

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Special Integral Operators: Weierstrass operators and related integrals

Special Integral Operators: Weierstrass operators and related integrals PDF Author: George Olatokunbo Okikiolu
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 334

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Book Description


Special Integral Operators: Poisson operators

Special Integral Operators: Poisson operators PDF Author: George Olatokunbo Okikiolu
Publisher:
ISBN:
Category : Integral operators
Languages : en
Pages : 530

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Mathematics in African History and Cultures

Mathematics in African History and Cultures PDF Author: Paulus Gerdes
Publisher: Lulu.com
ISBN: 1430315377
Category : History
Languages : en
Pages : 432

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Book Description
This volume constitutes an updated version of the bibliography published in 2004 by the African Mathematical Union. The African Studies Association attributed the original edition a 'ÂÂspecial mention'ÂÂ in the 2006 Conover-Porter Award competition. The book contains over 1600 bibliographic entries. The appendices contain additional bibliographic information on (1) mathematicians of the Diaspora, (2) publications by Africans on the history of mathematics outside Africa, (3) time-reckoning and astronomy in African history and cultures, (4) string figures in Africa, (5) examples of books published by African mathematicians, (6) board games in Africa, (7) research inspired by geometric aspects of the 'ÂÂsona'ÂÂ tradition. The book concludes with several indices (subject, country, region, author, ethnographic and linguistic, journal, mathematicians). Professor Jan Persens of the University of the Western Cape (South Africa) and president of the African Mathematical Union (2000-2004) wrote the preface.

History of Mathematics in Africa: 2000-2011

History of Mathematics in Africa: 2000-2011 PDF Author: Paulus Gerdes
Publisher: Lulu.com
ISBN: 1105141004
Category : Mathematics
Languages : en
Pages : 450

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Approximation by Multivariate Singular Integrals

Approximation by Multivariate Singular Integrals PDF Author: George A. Anastassiou
Publisher: Springer Science & Business Media
ISBN: 1461405890
Category : Mathematics
Languages : en
Pages : 88

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Book Description
Approximation by Multivariate Singular Integrals is the first monograph to illustrate the approximation of multivariate singular integrals to the identity-unit operator. The basic approximation properties of the general multivariate singular integral operators is presented quantitatively, particularly special cases such as the multivariate Picard, Gauss-Weierstrass, Poisson-Cauchy and trigonometric singular integral operators are examined thoroughly. This book studies the rate of convergence of these operators to the unit operator as well as the related simultaneous approximation. The last chapter, which includes many examples, presents a related Korovkin type approximation theorem for functions of two variables. Relevant background information and motivation is included in this exposition, and as a result this book can be used as supplementary text for several advanced courses. The results presented apply to many areas of pure and applied mathematics, such a mathematical analysis, probability, statistics and partial differential equations. This book is appropriate for researchers and selected seminars at the graduate level.

Reviews in Complex Analysis, 1980-86

Reviews in Complex Analysis, 1980-86 PDF Author:
Publisher:
ISBN:
Category : Functions of complex variables
Languages : en
Pages : 746

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Subject Catalog

Subject Catalog PDF Author: Library of Congress
Publisher:
ISBN:
Category : Subject catalogs
Languages : en
Pages : 976

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Integral Operators in the Theory of Linear Partial Differential Equations

Integral Operators in the Theory of Linear Partial Differential Equations PDF Author: Stefan Bergman
Publisher: Springer
ISBN: 3662380250
Category : Mathematics
Languages : en
Pages : 154

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Hypersingular Integrals and Their Applications

Hypersingular Integrals and Their Applications PDF Author: Stefan Samko
Publisher: CRC Press
ISBN: 9780415272681
Category : Mathematics
Languages : en
Pages : 382

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Book Description
Hypersingular integrals arise as constructions inverse to potential-type operators and are realized by the methods of regularization and finite differences. This volume develops these approaches in a comprehensive treatment of hypersingular integrals and their applications. The author is a renowned expert on the topic. He explains the basics before building more sophisticated ideas, and his discussions include a description of hypersingular integrals as they relate to functional spaces. Hypersingular Integrals and Their Applications also presents recent results and applications that will prove valuable to graduate students and researchers working in mathematical analysis.

Applications of q-Calculus in Operator Theory

Applications of q-Calculus in Operator Theory PDF Author: Ali Aral
Publisher: Springer Science & Business Media
ISBN: 1461469465
Category : Mathematics
Languages : en
Pages : 275

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Book Description
The approximation of functions by linear positive operators is an important research topic in general mathematics and it also provides powerful tools to application areas such as computer-aided geometric design, numerical analysis, and solutions of differential equations. q-Calculus is a generalization of many subjects, such as hypergeometric series, complex analysis, and particle physics. ​​This monograph is an introduction to combining approximation theory and q-Calculus with applications, by using well- known operators. The presentation is systematic and the authors include a brief summary of the notations and basic definitions of q-calculus before delving into more advanced material. The many applications of q-calculus in the theory of approximation, especially on various operators, which includes convergence of operators to functions in real and complex domain​ forms the gist of the book. This book is suitable for researchers and students in mathematics, physics and engineering, and for professionals who would enjoy exploring the host of mathematical techniques and ideas that are collected and discussed in the book.