SpringerBriefs in Mathematics

Applied Summability Methods

Authors: Mursaleen, M.

  • Focuses exclusively on the study of summability methods and their applications
  • Features self-contained chapters appropriate for researchers and graduate students
  • Includes topics such as proof of the prime number theorem using Lambert's summability and Wiener's Tauberian theorem
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eBook $39.99
price for USA (gross)
  • ISBN 978-3-319-04609-9
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $54.99
price for USA
  • ISBN 978-3-319-04608-2
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
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  • can be used across all devices
About this book

This short monograph is the first book to focus exclusively on the study of summability methods, which have become active areas of research in recent years. The book provides basic definitions of sequence spaces, matrix transformations, regular matrices and some special matrices, making the material accessible to mathematicians who are new to the subject. Among the core items covered are the proof of the Prime Number Theorem using Lambert's summability and Wiener's Tauberian theorem, some results on summability tests for singular points of an analytic function, and analytic continuation through Lototski summability. Almost summability is introduced to prove Korovkin-type approximation theorems and the last chapters feature statistical summability, statistical approximation, and some applications of summability methods in fixed point theorems.

Table of contents (12 chapters)

  • Toeplitz Matrices

    Mursaleen, M.

    Pages 1-11

  • Lambert Summability and the Prime Number Theorem

    Mursaleen, M.

    Pages 13-22

  • Summability Tests for Singular Points

    Mursaleen, M.

    Pages 23-29

  • Lototski Summability and Analytic Continuation

    Mursaleen, M.

    Pages 31-39

  • Summability Methods for Random Variables

    Mursaleen, M.

    Pages 41-51

Buy this book

eBook $39.99
price for USA (gross)
  • ISBN 978-3-319-04609-9
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $54.99
price for USA
  • ISBN 978-3-319-04608-2
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
Applied Summability Methods
Authors
Series Title
SpringerBriefs in Mathematics
Copyright
2014
Publisher
Springer International Publishing
Copyright Holder
M. Mursaleen
eBook ISBN
978-3-319-04609-9
DOI
10.1007/978-3-319-04609-9
Softcover ISBN
978-3-319-04608-2
Series ISSN
2191-8198
Edition Number
1
Number of Pages
X, 124
Topics