Summability Methods In Valuation Fields
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Summability Methods In Valuation Fields
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Author : Joe Roberts
language : en
Publisher:
Release Date : 1955
Summability Methods In Valuation Fields written by Joe Roberts and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1955 with Algebraic fields categories.
Sequence Spaces And Summability Over Valued Fields
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Author : P. N. Natarajan
language : en
Publisher: CRC Press
Release Date : 2019-07-09
Sequence Spaces And Summability Over Valued Fields written by P. N. Natarajan and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-07-09 with Mathematics categories.
Sequence spaces and summability over valued fields is a research book aimed at research scholars, graduate students and teachers with an interest in Summability Theory both Classical (Archimedean) and Ultrametric (non-Archimedean). The book presents theory and methods in the chosen topic, spread over 8 chapters that seem to be important at research level in a still developing topic. Key Features Presented in a self-contained manner Provides examples and counterexamples in the relevant contexts Provides extensive references at the end of each chapter to enable the reader to do further research in the topic Presented in the same book, a comparative study of Archimedean and non-Archimedean Summability Theory Appeals to young researchers and experienced mathematicians who wish to explore new areas in Summability Theory The book is written by a very experienced educator and researcher in Mathematical Analysis particularly Summability Theory.
An Introduction To Ultrametric Summability Theory
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Author : P.N. Natarajan
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-10-18
An Introduction To Ultrametric Summability Theory written by P.N. Natarajan and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-10-18 with Mathematics categories.
Ultrametric analysis has emerged as an important branch of mathematics in recent years. This book presents, for the first time, a brief survey of the research to date in ultrametric summability theory, which is a fusion of a classical branch of mathematics (summability theory) with a modern branch of analysis (ultrametric analysis). Several mathematicians have contributed to summability theory as well as functional analysis. The book will appeal to both young researchers and more experienced mathematicians who are looking to explore new areas in analysis.
Summable Series And Convergence Factors
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Author : Charles Napoleon Moore
language : en
Publisher: American Mathematical Soc.
Release Date : 1938-12-31
Summable Series And Convergence Factors written by Charles Napoleon Moore and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1938-12-31 with Mathematics categories.
Fairly early in the development of the theory of summability of divergent series, the concept of convergence factors was recognized as of fundamental importance in the subject. One of the pioneers in this field was C. N. Moore, the author of the book under review.... Moore classifies convergence factors into two types. In type I he places the factors which have only the property that they preserve convergence for a convergent series or produce convergence for a summable series. In type II he places the factors which not only maintain or produce convergence but have the additional property that they may be used to obtain the sum or generalized sum of the series. This book gives a generalized systematic treatment of the theory of convergence factors of both types, for simply infinite series and for multiple series, convergent and summable.... --Bulletin of the American Mathematical Society
Large Order Perturbation Theory And Summation Methods In Quantum Mechanics
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Author : Gustavo A. Arteca
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Large Order Perturbation Theory And Summation Methods In Quantum Mechanics written by Gustavo A. Arteca and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Science categories.
The book provides a general, broad approach to aspects of perturbation theory. The aim has been to cover all topics of interest, from construction, analysis, and summation of perturbation series to applications. Emphasis is placed on simple methods, as well as clear, intuitive ideas stemming from the physics of systems of interest.
Comprehensive Dissertation Index 1861 1972 Mathematics And Statistics
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Author : Xerox University Microfilms
language : en
Publisher:
Release Date : 1973
Comprehensive Dissertation Index 1861 1972 Mathematics And Statistics written by Xerox University Microfilms and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1973 with Dissertations, Academic categories.
Summability Fixed Point Theory And Generalized Integrals With Applications
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Author : Hemanta Kalita
language : en
Publisher: CRC Press
Release Date : 2025-06-19
Summability Fixed Point Theory And Generalized Integrals With Applications written by Hemanta Kalita and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-06-19 with Mathematics categories.
This book presents contemporary mathematical concepts and techniques including theories of summability, fixed point and non-absolute integration and applications, providing an overview of recent developments in the foundations of the field as well as its applications. It discusses the recent results of double sequence spaces as the four-dimensional forward difference matrix in double sequence spaces, several new fixed point on Hadamard type fractional integral and differential operator related to the qualitative properties of solutions like, existence and uniqueness, stability, continuous dependence, controllability, oscillations, etc. It also includes several new areas of nonabsolute integration theory are introduced and their applications to other fields. This reference text is for researchers, academics, and professionals in the field of pure and applied mathematics. Covers recent research breakthroughs in this field offering new approaches and methods for both theoretical exploration and practical application Presents insights into functional analytic methods in summability, absolute and strong summability, direct theorems on summability, special and general summability methods, and their applications Highlights fixed-point theory’s application to real-world problems and offers solutions to various complex challenges Introduces new areas of non-absolute integration theory, such as the Henstock-Kurzweil integral and generalized Riemann integral Discusses sequence spaces and functional analysis, including the exploration of double sequence spaces and the four-dimensional forward difference matrix, offering valuable contributions to ongoing research
Summability Theory And Its Applications
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Author : Feyzi Başar
language : en
Publisher: CRC Press
Release Date : 2022-06-27
Summability Theory And Its Applications written by Feyzi Başar and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-06-27 with Mathematics categories.
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.
Encyclopaedia Of Mathematics
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Author : Michiel Hazewinkel
language : en
Publisher: Springer
Release Date : 2013-12-20
Encyclopaedia Of Mathematics written by Michiel Hazewinkel and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-12-20 with Mathematics categories.
Current Topics In Summability Theory And Applications
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Author : Hemen Dutta
language : en
Publisher: Springer
Release Date : 2016-04-28
Current Topics In Summability Theory And Applications written by Hemen Dutta and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-04-28 with Mathematics categories.
This book discusses recent developments in and contemporary research on summability theory, including general summability methods, direct theorems on summability, absolute and strong summability, special methods of summability, functional analytic methods in summability, and related topics and applications. All contributing authors are eminent scientists, researchers and scholars in their respective fields, and hail from around the world. The book can be used as a textbook for graduate and senior undergraduate students, and as a valuable reference guide for researchers and practitioners in the fields of summability theory and functional analysis. Summability theory is generally used in analysis and applied mathematics. It plays an important part in the engineering sciences, and various aspects of the theory have long since been studied by researchers all over the world.