Summability Theory and Its Applications
2nd Edition
Published on 27. June 2022
520 pages
978-1-000-59914-5 (ISBN)
Description
Summability Theory and Its Applications explains various aspects of summability and demonstrates its applications in a rigorous and coherent manner. The content can readily serve as a reference or as a useful series of lecture notes on the subject.
This substantially revised new edition includes brand new material across several chapters as well as several corrections, including: the addition of the domain of Cesaro matrix C(m) of order m in the classical sequence spaces to Chapter 4; and introducing the domain of four-dimensional binomial matrix in the spaces of bounded, convergent in the Pringsheim's sense, both convergent in the Pringsheim's sense and bounded, and regularly convergent double sequences, in Chapter 7.
Features
Investigates different types of summable spaces and computes their dual
Suitable for graduate students and researchers with a (special) interest in spaces of single and double sequences, matrix transformations and domains of triangle matrices
Can serve as a reference or as supplementary reading in a computational physics course, or as a key text for special Analysis seminars.
This substantially revised new edition includes brand new material across several chapters as well as several corrections, including: the addition of the domain of Cesaro matrix C(m) of order m in the classical sequence spaces to Chapter 4; and introducing the domain of four-dimensional binomial matrix in the spaces of bounded, convergent in the Pringsheim's sense, both convergent in the Pringsheim's sense and bounded, and regularly convergent double sequences, in Chapter 7.
Features
Investigates different types of summable spaces and computes their dual
Suitable for graduate students and researchers with a (special) interest in spaces of single and double sequences, matrix transformations and domains of triangle matrices
Can serve as a reference or as supplementary reading in a computational physics course, or as a key text for special Analysis seminars.
More details
Edition
2nd edition
Language
English
Place of publication
London
United Kingdom
Publishing group
Taylor & Francis Ltd
Target group
College/higher education
Illustrations
6 Tables, black and white
ISBN-13
978-1-000-59914-5 (9781000599145)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Other editions
Additional editions
Feyzi Basar
Summability Theory and Its Applications
Book
06/2022
2nd Edition
Chapman & Hall/CRC
€205.30
Shipment within 10-20 days
Person
Dr. Feyzi Basar is a Professor Emeritus since July 2016 at Inoenue University, Turkey. He has published three books for graduate students and researchers and more than 160 scientific papers in the field of summability theory, sequence spaces, FK-spaces, Schauder bases, dual spaces, matrix transformations, spectrum of certain linear operators represented by a triangle matrix over some sequence spaces, the alpha-, beta- and gamma-duals and some topological properties of the domains of some double and four-dimensional triangles in certain spaces of single and double sequences and sets of the sequences of fuzzy numbers. Nowadays, Professor Basar works on the development of sequences and series, and the basic concepts of summability in non-newtonian calculus. He has guided 17 MA and 10 Ph.D. students and served as a referee for 141 international scientific journals. He is reviewer Mathematical Reviews since 2007 and Zentralblatt MATH, and the member of editorial boards of 21 scientific journals. He is also a member of scientific committees of 17 mathematics conferences, delivered talks at 14 different universities as an invited speaker, and worked on 10 scientific project, and participated in more than 70 mathematics symposiums with papers.
Content
1. Infinite Matrices. 2. Normed and Paranormed Sequence Spaces. 3. Matrix Transformations in Sequence Spaces. 4. Matrix Domains in Sequence Spaces. 5. Spectrum of Some Particular Matrices. 6. Core of a Sequence. 7. Double Sequences. 8. Sequences of Fuzzy Numbers. 9. Absolute Summability.
