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An Introductory Course in Summability Theory by Ants Aasma (English) Hardcover B
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Item specifics
- Condition
- Brand New: A new, unread, unused book in perfect condition with no missing or damaged pages. See all condition definitionsopens in a new window or tab
- ISBN-13
- 9781119397694
- Book Title
- An Introductory Course in Summability Theory
- ISBN
- 9781119397694
- Publication Year
- 2017
- Type
- Textbook
- Format
- Hardcover
- Language
- English
- Publication Name
- Introductory Course in Summability Theory
- Item Height
- 0.8in
- Item Length
- 9.1in
- Publisher
- Wiley & Sons, Incorporated, John
- Item Width
- 5.7in
- Item Weight
- 16.8 Oz
- Number of Pages
- 224 Pages
About this product
Product Information
An introductory course in summability theory for students, researchers, physicists, and engineers In creating this book, the authors' intent was to provide graduate students, researchers, physicists, and engineers with a reasonable introduction to summability theory. Over the course of nine chapters, the authors cover all of the fundamental concepts and equations informing summability theory and its applications, as well as some of its lesser known aspects. Following a brief introduction to the history of summability theory, general matrix methods are introduced, and the Silverman-Toeplitz theorem on regular matrices is discussed. A variety of special summability methods, including the N rlund method, the Weighted Mean method, the Abel method, and the (C, 1) - method are next examined. An entire chapter is devoted to a discussion of some elementary Tauberian theorems involving certain summability methods. Following this are chapters devoted to matrix transforms of summability and absolute summability domains of reversible and normal methods; the notion of a perfect matrix method; matrix transforms of summability and absolute summability domains of the Ces ro and Riesz methods; convergence and the boundedness of sequences with speed; and convergence, boundedness, and summability with speed. - Discusses results on matrix transforms of several matrix methods - The only English-language textbook describing the notions of convergence, boundedness, and summability with speed, as well as their applications in approximation theory - Compares the approximation orders of Fourier expansions in Banach spaces by different matrix methods - Matrix transforms of summability domains of regular perfect matrix methods are examined - Each chapter contains several solved examples and end-of-chapter exercises, including hints for solutions An Introductory Course in Summability Theory is the ideal first text in summability theory for graduate students, especially those having a good grasp of real and complex analysis. It is also a valuable reference for mathematics researchers and for physicists and engineers who work with Fourier series, Fourier transforms, or analytic continuation. ANTS AASMA, PhD, is Associate Professor of Mathematical Economics in the Department of Economics and Finance at Tallinn University of Technology, Estonia. HEMEN DUTTA, PhD, is Senior Assistant Professor of Mathematics at Gauhati University, India. P.N. NATARAJAN, PhD, is Formerly Professor and Head of the Department of Mathematics, Ramakrishna Mission Vivekananda College, Chennai, Tamilnadu, India.
Product Identifiers
Publisher
Wiley & Sons, Incorporated, John
ISBN-10
1119397693
ISBN-13
9781119397694
eBay Product ID (ePID)
234900300
Product Key Features
Publication Name
Introductory Course in Summability Theory
Format
Hardcover
Language
English
Publication Year
2017
Type
Textbook
Number of Pages
224 Pages
Dimensions
Item Length
9.1in
Item Height
0.8in
Item Width
5.7in
Item Weight
16.8 Oz
Additional Product Features
Lc Classification Number
Qa292.A27 2017
Reviews
\An Introductory Course in Summability Theory is the ideal rst text in summability theory for graduate students, especially those having a good grasp of real and complex analysis. It is also a valuable reference for mathematics researchers and for physicists and engineers who work with Fourier series, Fourier transforms, or analytic continuation." Mathematical Reviews, Sept 2017
Table of Content
Preface ix About the Authors xi About the Book xiii 1 Introduction and General Matrix Methods 1 1.1 Brief Introduction 1 1.2 General Matrix Methods 2 1.3 Exercise 16 References 19 2 Special Summability Methods I 21 2.1 The Nörlund Method 21 2.2 The Weighted Mean Method 29 2.3 The Abel Method and the (C,1) Method 34 2.4 Exercise 44 References 45 3 Special Summability Methods II 47 3.1 The Natarajan Method and the Abel Method 47 3.2 The Euler and Borel Methods 53 3.3 The Taylor Method 59 3.4 The Hölder and Cesà ro Methods 62 3.5 The Hausdorff Method 64 3.6 Exercise 73 References 74 4 Tauberian Theorems 75 4.1 Brief Introduction 75 4.2 Tauberian Theorems 75 4.3 Exercise 83 References 84 5 Matrix Transformations of Summability and Absolute Summability Domains: Inverse-Transformation Method 85 5.1 Introduction 85 5.2 Some Notions and Auxiliary Results 87 5.3 The Existence Conditions of Matrix Transform Mx 91 5.4 Matrix Transforms for Reversible Methods 95 5.5 Matrix Transforms for Normal Methods 102 5.6 Exercise 107 References 109 6 Matrix Transformations of Summability and Absolute Summability Domains: Peyerimhoff's Method 113 6.1 Introduction 113 6.2 Perfect Matrix Methods 113 6.3 The Existence Conditions of Matrix Transform Mx 117 6.4 Matrix Transforms for Regular Perfect Methods 121 6.5 Exercise 127 References 129 7 Matrix Transformations of Summability and Absolute Summability Domains: The Case of Special Matrices 131 7.1 Introduction 131 7.2 The Case of Riesz Methods 131 7.3 The Case of Cesà ro Methods 139 7.4 Some Classes of Matrix Transforms 148 7.5 Exercise 151 References 154 8 On Convergence and Summability with Speed I 8.1 Introduction 8.2 The sets (mλ, mμ), (cλ, cμ) and (cλ, mμ) 8.3 Matrix transforms from mAλ into mBμ 8.4 On orders of approximation of Fourier expansions 8.5 Exercises References 9 On Convergence and Summability with Speed II 9.1 Introduction 9.2 Some topological properties of mλ, cλ, cAλ and mAλ 9.3 Matrix transforms from cAλ into cBμ or mBμ 9.4 Exercises References
Copyright Date
2017
Topic
Probability & Statistics / General
Lccn
2017-001841
Dewey Decimal
515.243
Intended Audience
Scholarly & Professional
Dewey Edition
23
Genre
Mathematics
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I will give the seller a + for communication. Very well done. However, I paid for a hardback (at the price of one) and received a paperback. I also was unable to track most of the journey of my package after it was shipped (which took 12 days.) I suspect this seller is not actually shipping from Canada as the day my item was shipped, it was already in Illinois. After reading more thoroughly on them, I fully thought I was going to be scammed. Glad I got my item but will not use them again sadly.
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