9788132216117
IR
EN-52501
انگلیسی
IR
Convergence Methods for Double Sequences and Application
[Book]
/ electronic resource
New Delhi
: Springer India :Imprint: Springer,
, 2014.
IX, 171 s. , online resource..
9788132216100.
Electronic
Summary: This book exclusively deals with the study of almost convergence and statistical convergence of double sequences. The notion of @201Calmost convergence@201D 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 the @201Cstatistical convergence@201D, introduced by H. Fast, which is an extension of the usual concept of sequential limits. This concept arises as an example of @201Cconvergence in density@201D which is also studied as a summability method. Even unbounded sequences can be dealt with by using this method. The book also discusses the applications of these non-matrix methods in approximation theory. Written in a self-contained style, the book discusses in detail the methods of almost convergence and statistical convergence for double sequences along with applications and suitable examples. The last chapter is devoted to the study convergence of double series and describes various convergence tests analogous to those of single sequences. In addition to applications in approximation theory, the results are expected to find application in many other areas of pure and applied mathematics such as mathematical analysis, probability, fixed point theory and statistics.
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.
Mathematics
Global analysis (Mathematics)
Sequences (Mathematics)
Mathematics
Sequences, Series, Summability
Approximations and Expansions
Analysis
E-BOOK
Mursaleen, M..
Mohiuddine, S.A
SpringerLink (Online service)
ایران
9788132216100.pdf
عادی
عادی
9788132216100.pdf
متن
old catalog
e
BL
1
a
Y
