Sequence Space Theory with Applications

Sequence Space Theory with Applications
Author: S. A. Mohiuddine
Publisher: CRC Press
Total Pages: 307
Release: 2022-07-20
Genre: Mathematics
ISBN: 1000610047

The book features original chapters on sequence spaces involving the idea of ideal convergence, modulus function, multiplier sequences, Riesz mean, Fibonacci difference matrix etc., and illustrate their involvement in various applications. The preliminaries have been presented in the beginning of each chapter and then the advanced discussion takes place, so it is useful for both expert and nonexpert on aforesaid topics. The book consists of original thirteen research chapters contributed by the well-recognized researchers in the field of sequence spaces with associated applications. Features Discusses the Fibonacci and vector valued difference sequence spaces Presents the solution of Volterra integral equation in Banach algebra Discusses some sequence spaces involving invariant mean and related to the domain of Jordan totient matrix Presents the Tauberian theorems of double sequences Discusses the paranormed Riesz difference sequence space of fractional order Includes a technique for studying the existence of solutions of infinite system of functional integro-differential equations in Banach sequence spaces The subject of book is an active area of research of present time internationally and would serve as a good source for researcher and educators involved with the topic of sequence spaces.

Approximation Theory, Sequence Spaces and Applications

Approximation Theory, Sequence Spaces and Applications
Author: S. A. Mohiuddine
Publisher: Springer Nature
Total Pages: 277
Release: 2022-12-07
Genre: Mathematics
ISBN: 9811961166

This book publishes original research chapters on the theory of approximation by positive linear operators as well as theory of sequence spaces and illustrates their applications. Chapters are original and contributed by active researchers in the field of approximation theory and sequence spaces. Each chapter describes the problem of current importance and summarizes ways of their solution and possible applications which improve the current understanding pertaining to sequence spaces and approximation theory. The presentation of the articles is clear and self-contained throughout the book.

Sequence Spaces and Applications

Sequence Spaces and Applications
Author: P.K Jain
Publisher: ALPHA SCIENCE INTERNATIONAL LIMITED
Total Pages: 159
Release: 1999-04-01
Genre: Mathematics
ISBN: 8184872798

This volume contains referred articles covering areas in classical as well as modern sequence space theory. The major topics covered are Classical Sequence Spaces, Duals and Matrix Transformation, Structure and Topology,

Soft Computing Techniques in Engineering, Health, Mathematical and Social Sciences

Soft Computing Techniques in Engineering, Health, Mathematical and Social Sciences
Author: Pradip Debnath
Publisher: CRC Press
Total Pages: 232
Release: 2021-07-15
Genre: Computers
ISBN: 1000409813

Soft computing techniques are no longer limited to the arena of computer science. The discipline has an exponentially growing demand in other branches of science and engineering and even into health and social science. This book contains theory and applications of soft computing in engineering, health, and social and applied sciences. Different soft computing techniques such as artificial neural networks, fuzzy systems, evolutionary algorithms and hybrid systems are discussed. It also contains important chapters in machine learning and clustering. This book presents a survey of the existing knowledge and also the current state of art development through original new contributions from the researchers. This book may be used as a one-stop reference book for a broad range of readers worldwide interested in soft computing. In each chapter, the preliminaries have been presented first and then the advanced discussion takes place. Learners and researchers from a wide variety of backgrounds will find several useful tools and techniques to develop their soft computing skills. This book is meant for graduate students, faculty and researchers willing to expand their knowledge in any branch of soft computing. The readers of this book will require minimum prerequisites of undergraduate studies in computation and mathematics.

Non-Newtonian Calculus

Non-Newtonian Calculus
Author: Michael Grossman
Publisher: Non-Newtonian Calculus
Total Pages: 108
Release: 1972
Genre: Mathematics
ISBN: 9780912938011

The non-Newtonian calculi provide a wide variety of mathematical tools for use in science, engineering, and mathematics. They appear to have considerable potential for use as alternatives to the classical calculus of Newton and Leibniz. It may well be that these calculi can be used to define new concepts, to yield new or simpler laws, or to formulate or solve problems.

Series in Banach Spaces

Series in Banach Spaces
Author: Vladimir Kadets
Publisher: Birkhäuser
Total Pages: 162
Release: 2012-12-06
Genre: Mathematics
ISBN: 3034891962

Series of scalars, vectors, or functions are among the fundamental objects of mathematical analysis. When the arrangement of the terms is fixed, investigating a series amounts to investigating the sequence of its partial sums. In this case the theory of series is a part of the theory of sequences, which deals with their convergence, asymptotic behavior, etc. The specific character of the theory of series manifests itself when one considers rearrangements (permutations) of the terms of a series, which brings combinatorial considerations into the problems studied. The phenomenon that a numerical series can change its sum when the order of its terms is changed is one of the most impressive facts encountered in a university analysis course. The present book is devoted precisely to this aspect of the theory of series whose terms are elements of Banach (as well as other topological linear) spaces. The exposition focuses on two complementary problems. The first is to char acterize those series in a given space that remain convergent (and have the same sum) for any rearrangement of their terms; such series are usually called uncon ditionally convergent. The second problem is, when a series converges only for certain rearrangements of its terms (in other words, converges conditionally), to describe its sum range, i.e., the set of sums of all its convergent rearrangements.

Advances in Mathematical Analysis and its Applications

Advances in Mathematical Analysis and its Applications
Author: Bipan Hazarika
Publisher: CRC Press
Total Pages: 358
Release: 2022-12-12
Genre: Mathematics
ISBN: 100082439X

Advances in Mathematical Analysis and its Applications is designed as a reference text and explores several important aspects of recent developments in the interdisciplinary applications of mathematical analysis (MA), and highlights how MA is now being employed in many areas of scientific research. It discusses theory and problems in real and complex analysis, functional analysis, approximation theory, operator theory, analytic inequalities, the Radon transform, nonlinear analysis, and various applications of interdisciplinary research; some topics are also devoted to specific applications such as the three-body problem, finite element analysis in fluid mechanics, algorithms for difference of monotone operators, a vibrational approach to a financial problem, and more. Features: The book encompasses several contemporary topics in the field of mathematical analysis, their applications, and relevancies in other areas of research and study. It offers an understanding of research problems by presenting the necessary developments in reasonable details The book also discusses applications and uses of operator theory, fixed-point theory, inequalities, bi-univalent functions, functional equations, and scalar-objective programming, and presents various associated problems and ways to solve such problems Contains applications on wavelets analysis and COVID-19 to show that mathematical analysis has interdisciplinary as well as real life applications. The book is aimed primarily at advanced undergraduates and postgraduate students studying mathematical analysis and mathematics in general. Researchers will also find this book useful.

New Trends in Analysis and Interdisciplinary Applications

New Trends in Analysis and Interdisciplinary Applications
Author: Pei Dang
Publisher: Birkhäuser
Total Pages: 615
Release: 2017-04-18
Genre: Mathematics
ISBN: 3319488120

This book presents a collection of papers from the 10th ISAAC Congress 2015, held in Macau, China. The papers, prepared by respected international experts, address recent results in Mathematics, with a special focus on Analysis. By structuring the content according to the various mathematical topics, the volume offers specialists and non-specialists alike an excellent source of information on the state-of-the-art in Mathematical Analysis and its interdisciplinary applications.

SCIENTIA MAGNA – International Book Series (vol. 12, no. 1)

SCIENTIA MAGNA – International Book Series (vol. 12, no. 1)
Author: Huaning Liu
Publisher: Infinite Study
Total Pages: 160
Release:
Genre: Mathematics
ISBN:

Scientia Magna international book series publish original research articles in all areas of mathematics and mathematical sciences. However, papers related to Smarandache’s problems will be highly preferred.

SCIENTIA MAGNA: An international journal, Vol. 12, No. 1, 2017

SCIENTIA MAGNA: An international journal, Vol. 12, No. 1, 2017
Author: Jing Huang
Publisher: Infinite Study
Total Pages: 159
Release: 2017-07-01
Genre: Mathematics
ISBN:

Scientia Magna is a peer-reviewed, open access journal that publishes original research articles in all areas of mathematics and mathematical sciences. However, papers related to Smarandache’s problems will be highly preferred.