Sequence Space Theory with Applications

ISBN-13: 9781032013251 / Angielski / Twarda / 2022 / 310 str.

Opis

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.

Spis treści

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 (A^r,δ, p, q; 1, 1), (A^r,∗, 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.