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Full 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.
Contents
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.
