This book is aimed at both experts and non-experts with an interest in getting acquainted with sequence spaces, matrix transformations and their applications. It consists of several new results which are part of the recent research on these topics. It provides different points of view in one volume, e.g. their topological properties, geometry and summability, fuzzy valued study and more. This book presents the important role sequences and series play in everyday life, it covers geometry of Banach Sequence Spaces, it discusses the importance of generalized limit, it offers spectrum and fine spectrum of several linear operators and includes fuzzy valued sequences which exhibits the study of sequence spaces in fuzzy settings. This book is the main attraction for those who work in Sequence Spaces, Summability Theory and would also serve as a good source of reference for those involved with any topic of Real or Functional Analysis.

Sequence Spaces: Topics in Modern Summability Theory (Mathematics and its Applications)

Science & Math

Mursaleen, Mohammad

Başar, Feyzi

Mathematics

CRC-Press

The aim of Summable Spaces and Their Duals, Matrix Transformations and Geometric Properties is to discuss primarily about different kinds of summable spaces, compute their duals and then characterize several matrix classes transforming one summable space into other. The book also discusses several geometric properties of summable spaces, as well as dealing with the construction of summable spaces using Orlicz functions, and explores several structural properties of such spaces. Each chapter contains a conclusion section highlighting the importance of results, and points the reader in the direction of possible new ideas for further study. Features <ul> <li>Suitable for graduate schools, graduate students, researchers and faculty, and could be used as a key text for special Analysis seminars</li> <li>Investigates different types of summable spaces and computes their duals</li> <li>Characterizes several matrix classes transforming one summable space into other</li> <li>Discusses several geometric properties of summable spaces</li> <li>Examines several possible generalizations of Orlicz sequence spaces</li> </ul> &#12288;

Summable Spaces and Their Duals, Matrix Transformations and Geometric Properties (Chapman & Hall/CRC Monographs and Research Notes in Mathematics)

Dutta, Hemen

Chapman and Hall/CRC

Sequence Spaces (Mathematics and its Applications)

Health, Fitness & Dieting

Psychology & Counseling

Double Sequence Spaces and Four-Dimensional Matrices provides readers with a clear introduction to the spaces of double sequences and series, as well as their properties. The book then goes beyond this to investigate paranormed double sequence spaces and their algebraic and topological properties, triangle matrices and their domains in certain spaces of double sequences, dual spaces of double sequence spaces, and matrix transformations between double sequence spaces and related topics. Each chapter contains a conclusion section highlighting the importance of results and pointing out possible new ideas that can be studied further. Features <ul> <li>Suitable for students at graduate or post-graduate level and researchers</li> <li>Investigates different types of summable spaces and computes their duals</li> <li>Characterizes several four-dimensional matrix classes transforming one summable space into other</li> <li>Discusses several algebraic and topological properties of new sequence spaces generated by the domain of triangles.</li> </ul>

Double Sequence Spaces and Four-Dimensional Matrices (Chapman & Hall/CRC Monographs and Research Notes in Mathematics)

Computers & Technology

Savaşcı, Medine Yeşilkayagil

Computer Science

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 <ul> <li>Investigates different types of summable spaces and computes their dual</li> <li>Suitable for graduate students and researchers with a (special) interest in spaces of single and double sequences, matrix transformations and domains of triangle matrices</li> <li>Can serve as a reference or as supplementary reading in a computational physics course, or as a key text for special Analysis seminars.</li> </ul>

Summability Theory and Its Applications

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 book 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 book 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.

Summability Theory and its Applications

Çolak, Rifat

Bentham Science Publishers

See the best price to sell, buy, or rent books by Başar, Feyzi. BookScouter helps to compare book prices from 25+ online bookstores and 30+ buyback vendors with a single search.

Books by Başar, Feyzi