Authors: Feyzi Başar, Rifat Çolak

Summability Theory and its Applications

eBook: US $39 Special Offer (PDF + Printed Copy): US $258
Printed Copy: US $239
Library License: US $156
ISBN: 978-1-60805-420-6 (Print)
ISBN: 978-1-60805-252-3 (Online)
Year of Publication: 2012
DOI: 10.2174/97816080545231120101

Introduction

The theory of summability has many uses throughout analysis and applied mathematics. Engineers and physicists working with Fourier series or analytic continuation will also find the concepts of summability theory valuable to their research.

The concepts of summability have been extended to the sequences of fuzzy numbers and also to the theorems of ergodic theory. This ebook explains various aspects of summability and demonstrates applications in a coherent manner. The content can readily serve as a useful series of lecture notes on the subject.

This ebook comprises of 8 chapters starting from classical sequence spaces and covering matrix transformations and fuzzy numbers. An accompanying bibliography with extensive references makes this a valuable source of information for readers interested in summability theory as well as other branches of science.

Foreword

- Pp. i
M. Mursaleen
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Preface

- Pp. ii-iii (2)
Feyzi Basar
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Acknowledgements

- Pp. iv
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Infinite Matrices

- Pp. 3-14 (12)
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Normed and Paranormed Sequence Spaces

- Pp. 15-32 (18)
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Matrix Transformations in Sequence Spaces

- Pp. 33-50 (18)
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Matrix Domains in Sequence Spaces

- Pp. 51-192 (142)
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Spectrum of Some Particular Limitation Matrices

- Pp. 193-230 (38)
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Core of a Sequence

- Pp. 231-276 (46)
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Double Sequences

- Pp. 277-314 (38)
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Sequences of Fuzzy Numbers

- Pp. 315-378 (64)
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Bibliography

- Pp. 379-395 (17)
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List of Abbreviations and Symbols

- Pp. 396-399 (4)
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Index

- Pp. 400-402 (3)
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