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Sequence Space Theory with Applications de S. A. Mohiuddine

Sequence Space Theory with Applications

Editat de S. A. Mohiuddine, Bipan Hazarika
en Limba Engleză Hardback – 20 iul 2022
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.
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Specificații

ISBN-13: 9781032013251
ISBN-10: 1032013257
Pagini: 306
Ilustrații: 4 Tables, black and white; 9 Line drawings, black and white; 1 Halftones, black and white; 10 Illustrations, black and white
Dimensiuni: 156 x 234 x 19 mm
Greutate: 0.45 kg
Ediția:1
Editura: CRC Press
Colecția Chapman and Hall/CRC

Public țintă

Postgraduate

Cuprins

1. Hahn-Banach and Duality Type Theorems for Vector Lattice- Valued Operators and Applications to Subdifferential Calculus and Optimization. 2. Application of Measure of Noncompactness on Infinite Sys- tem of Functional Integro-differential Equations with Integral Initial Conditions. 3. λ-Statistical Convergence of Interval Numbers of Order α. 4. Necessary and Sufficient Tauberian Conditions under which Convergence follows from (Ar,δ, p, q; 1, 1), (Ar,∗, p, ∗; 1, 0) and (A∗,δ, ∗, q; 0, 1) Summability Methods of Double Sequences. 5. On New Sequence Spaces Related to Domain of the Jordan Totient Matrix. 6. A Study of Fibonacci Difference I–Convergent Sequence Spaces. 7. Theory of Approximation for Operators in Intuitionistic Fuzzy Normed Linear Space. 8. Solution of Volterra Integral Equations in Banach Algebras using Measure of Noncompactness. 9. Solution of a pair of Nonlinear Matrix Equation using Fixed Point Theory. 10. Sequence Spaces and Matrix Transformations. 11. Carath´eodory Theory of Dynamic Equations on Time Scales. 12. Vector Valued Ideal Convergent Generalized Difference Se- quence Spaces Associated with Multiplier Sequences. 13. Domain of Generalized Riesz Difference Operator of Frac- tional Order in Maddox’s Space f(p) and Certain Geometric Properties.  

Notă biografică

S. A. Mohiuddine is a full professor of Mathematics at King Abdu- laziz University, Jeddah, Saudi Arabia. An active researcher, he has coau- thored three books, Convergence Methods for Double Sequences and Appli- cations (Springer, 2014), Advances in Summability and Approximation The- ory (Springer, 2018) and Soft Computing Techniques in Engineering, Health, Mathematical and Social Sciences (CRC Press, Taylor & Francis Group, 2021), and a number of chapters and has contributed over 140 research papers to var- ious leading journals. He is the referee of many scientific journals and member of the editorial board of various scientific journals, international scientific bod- ies and organizing committees. He has visited several international universities including Imperial College London, UK. He was a guest editor of a number of special issues for Abstract and Applied Analysis, Journal of Function Spaces and Scientific World Journal. His research interests are in the fields of sequence spaces, statistical convergence, matrix transformation, measures of noncom- pactness and approximation theory. His name was in the list of Worlds Top 2% Scientists (2020) prepared by Stanford University, California.
Bipan Hazarika is presently a professor in the Department of Mathemat- ics at Gauhati University, Guwahati, India. He has worked at Rajiv Gandhi University, Rono Hills, Doimukh, Arunachal Pradesh, India from 2005 to 2017. He was professor at Rajiv Gandhi University upto 10-08-2017. He received his Ph.D. degree from Gauhati University and his main research interests are in the field of sequences spaces, summability theory, applications of fixed point theory, fuzzy analysis and function spaces of non absolute integrable functions. He has published over 150 research papers in several international journals. He is an editorial board member of more than 5 international jour- nals and a regular reviewer of more than 50 different journals published from Springer, Elsevier, Taylor & Francis, Wiley, IOS Press, World Scientific, Amer- ican Mathematical Society, De Gruyter. He has published books on Differential Equations, Differential Calculus and Integral Calculus. He was the guest edi- tor of the special issue "Sequence spaces, Function spaces and Approximation Theory", in Journal of Function Spaces..

Descriere

This book contains advance and modern techniques to define sequence spaces and obtain their applications.This book is aimed primarily at graduates and researchers studying sequence spaces. Students in mathematics and engineering would also find this book useful.