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The Resource Classical Summability Theory, by P.N. Natarajan, (electronic resource)

Classical Summability Theory, by P.N. Natarajan, (electronic resource)

Label
Classical Summability Theory
Title
Classical Summability Theory
Statement of responsibility
by P.N. Natarajan
Creator
Subject
Language
eng
Summary
This book presents results about certain summability methods, such as the Abel method, the Norlund method, the Weighted mean method, the Euler method and the Natarajan method, which have not appeared in many standard books. It proves a few results on the Cauchy multiplication of certain summable series and some product theorems. It also proves a number of Steinhaus type theorems. In addition, it introduces a new definition of convergence of a double sequence and double series and proves the Silverman-Toeplitz theorem for four-dimensional infinite matrices, as well as Schur's and Steinhaus theorems for four-dimensional infinite matrices. The Norlund method, the Weighted mean method and the Natarajan method for double sequences are also discussed in the context of the new definition. Divided into six chapters, the book supplements the material already discussed in G.H.Hardy's Divergent Series. It appeals to young researchers and experienced mathematicians who wish to explore new areas in Summability Theory.--
Member of
Assigning source
Provided by publisher
http://library.link/vocab/creatorName
Natarajan, P.N
Image bit depth
0
Literary form
non fiction
Nature of contents
dictionaries
Series statement
Springer eBooks
http://library.link/vocab/subjectName
  • Mathematics
  • Matrix theory
  • Algebra
  • Functional analysis
  • Sequences (Mathematics)
Label
Classical Summability Theory, by P.N. Natarajan, (electronic resource)
Link
http://ezproxy.eui.eu/login?url=http://dx.doi.org/10.1007/978-981-10-4205-8
Instantiates
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
not applicable
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Chapter 1. Brief Introduction, General Summability Theory and Steinhaus Type Theorems -- Chapter 2. Core of a Sequence and the Matrix Class -- Chapter 3. Special Summability Methods -- Chapter 4. More Properties of the Method and Cauchy Multiplication of Certain Summable Series -- Chapter 5. The Silverman-Toeplitz, Schur's and Steinhaus Theorems for 4-dimensional Infinite Matrices -- Chapter 6. The N<U+0127>orlund, Weighted Mean and Methods for Double Sequences
Control code
978-981-10-4205-8
Dimensions
unknown
Extent
1 online resource (XI, 130 pages)
File format
multiple file formats
Form of item
  • online
  • electronic
Governing access note
Use of this electronic resource may be governed by a license agreement which restricts use to the European University Institute community. Each user is responsible for limiting use to individual, non-commercial purposes, without systematically downloading, distributing, or retaining substantial portions of information, provided that all copyright and other proprietary notices contained on the materials are retained. The use of software, including scripts, agents, or robots, is generally prohibited and may result in the loss of access to these resources for the entire European University Institute community
Isbn
9789811042058
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-981-10-4205-8
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(OCoLC)984992725
Label
Classical Summability Theory, by P.N. Natarajan, (electronic resource)
Link
http://ezproxy.eui.eu/login?url=http://dx.doi.org/10.1007/978-981-10-4205-8
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
not applicable
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Chapter 1. Brief Introduction, General Summability Theory and Steinhaus Type Theorems -- Chapter 2. Core of a Sequence and the Matrix Class -- Chapter 3. Special Summability Methods -- Chapter 4. More Properties of the Method and Cauchy Multiplication of Certain Summable Series -- Chapter 5. The Silverman-Toeplitz, Schur's and Steinhaus Theorems for 4-dimensional Infinite Matrices -- Chapter 6. The N<U+0127>orlund, Weighted Mean and Methods for Double Sequences
Control code
978-981-10-4205-8
Dimensions
unknown
Extent
1 online resource (XI, 130 pages)
File format
multiple file formats
Form of item
  • online
  • electronic
Governing access note
Use of this electronic resource may be governed by a license agreement which restricts use to the European University Institute community. Each user is responsible for limiting use to individual, non-commercial purposes, without systematically downloading, distributing, or retaining substantial portions of information, provided that all copyright and other proprietary notices contained on the materials are retained. The use of software, including scripts, agents, or robots, is generally prohibited and may result in the loss of access to these resources for the entire European University Institute community
Isbn
9789811042058
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-981-10-4205-8
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(OCoLC)984992725

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