1st Edition
Sequence Space Theory with Applications
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.
1. Hahn-Banach and Duality Type Theorems for Vector Lattice- Valued Operators and Applications to Subdifferential Calculus and Optimization
Antonio Boccuto
2. Application of Measure of Noncompactness on Infinite Sys- tem of Functional Integro-differential Equations with Integral Initial Conditions
Anupam Das
3. λ-Statistical Convergence of Interval Numbers of Order α
Ayhan Esi and Ayten Esi
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
Cagla Kambak and Ibrahim Canak
5. On New Sequence Spaces Related to Domain of the Jordan Totient Matrix
Emrah Evren Kara, Necip Simsek, and Merve Ilkhan Kara
6. A Study of Fibonacci Difference I–Convergent Sequence Spaces
Vakeel A. Khan, Kamal M. A. S. Alshlool, and Sameera A. A. Abdullah
7. Theory of Approximation for Operators in Intuitionistic Fuzzy Normed Linear Spaces
Nabanita Konwar and Pradip Debnath
8. Solution of Volterra Integral Equations in Banach Algebras using Measure of Noncompactness
Hemant Kumar Nashine and Anupam Das
9. Solution of a pair of Nonlinear Matrix Equation using Fixed Point Theory
Hemant Kumar Nashine and Sourav Shil
10. Sequence Spaces and Matrix Transformations
Ekrem Savas
11. Carath´eodory Theory of Dynamic Equations on Time Scales
Sanket Tikare
12. Vector Valued Ideal Convergent Generalized Difference Se- quence Spaces Associated with Multiplier Sequences
Binod Chandra Tripathy
13. Domain of Generalized Riesz Difference Operator of Frac- tional Order in Maddox’s Space f(p) and Certain Geometric Properties
Taja Yaying, Bipan Hazarika, and S. A. Mohiuddine
Biography
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..
