Convergence Methods for Double Sequences and Applications

• Κύριοι συγγραφείς: Mursaleen, M. (Συγγραφέας), Mohiuddine, S.A (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: New Delhi : Springer India : Imprint: Springer, 2014.
• Θέματα: Mathematics.; Mathematical analysis.; Analysis (Mathematics).; Approximation theory.; Sequences (Mathematics).; Sequences, Series, Summability.; Approximations and Expansions.; Analysis.

This book exclusively deals with the study of almost convergence and statistical convergence of double sequences. The notion of “almost convergence” is perhaps the most useful notion in order to obtain a weak limit of a bounded non-convergent sequence. There is another notion of convergence known as...

Πίνακας περιεχομένων:

• Chapter 1: Almost and statistical convergence of ordinary sequences: A preview
• Chapter 2: Almost convergence of double sequences
• Chapter 3: Almost regular matrices
• Chapter 4: Absolute almost convergence of double sequences
• Chapter 5: Almost convergence and core theorems
• Chapter 6: Application of almost convergence in approximation theorems for functions of two variables
• Chapter 7: Statistical convergence of double sequences
• Chapter 8: Statistical approximation of positive linear operators
• Chapter 9: Double series and convergence tests
• References.