The Resource Classical Summability Theory, by P.N. Natarajan, (electronic resource)
Classical Summability Theory, by P.N. Natarajan, (electronic resource)
Resource Information
The item Classical Summability Theory, by P.N. Natarajan, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in European University Institute.This item is available to borrow from 1 library branch.
Resource Information
The item Classical Summability Theory, by P.N. Natarajan, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in European University Institute.
This item is available to borrow from 1 library branch.
 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 SilvermanToeplitz theorem for fourdimensional infinite matrices, as well as Schur's and Steinhaus theorems for fourdimensional 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.
 Language
 eng
 Extent
 1 online resource (XI, 130 pages)
 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 SilvermanToeplitz, Schur's and Steinhaus Theorems for 4dimensional Infinite Matrices
 Chapter 6. The N<U+0127>orlund, Weighted Mean and Methods for Double Sequences
 Isbn
 9789811042058
 Label
 Classical Summability Theory
 Title
 Classical Summability Theory
 Statement of responsibility
 by P.N. Natarajan
 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 SilvermanToeplitz theorem for fourdimensional infinite matrices, as well as Schur's and Steinhaus theorems for fourdimensional 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.
 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)
 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 SilvermanToeplitz, Schur's and Steinhaus Theorems for 4dimensional Infinite Matrices  Chapter 6. The N<U+0127>orlund, Weighted Mean and Methods for Double Sequences
 Control code
 9789811042058
 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, noncommercial 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
 10.1007/9789811042058
 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)
 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 SilvermanToeplitz, Schur's and Steinhaus Theorems for 4dimensional Infinite Matrices  Chapter 6. The N<U+0127>orlund, Weighted Mean and Methods for Double Sequences
 Control code
 9789811042058
 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, noncommercial 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
 10.1007/9789811042058
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number
 (OCoLC)984992725
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<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.library.eui.eu/portal/ClassicalSummabilityTheorybyP.N.Natarajan/sa7B15ObKNs/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.library.eui.eu/portal/ClassicalSummabilityTheorybyP.N.Natarajan/sa7B15ObKNs/">Classical Summability Theory, by P.N. Natarajan, (electronic resource)</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.library.eui.eu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.library.eui.eu/">European University Institute</a></span></span></span></span></div>