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Description
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.
Table of Contents
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
