000 03362nam a22004695i 4500
001 978-81-322-1611-7
003 DE-He213
005 20140220082526.0
007 cr nn 008mamaa
008 131017s2014 ii | s |||| 0|eng d
020 _a9788132216117
_9978-81-322-1611-7
024 7 _a10.1007/978-81-322-1611-7
_2doi
050 4 _aQA292
050 4 _aQA295
072 7 _aPBK
_2bicssc
072 7 _aMAT034000
_2bisacsh
082 0 4 _a515.24
_223
100 1 _aMursaleen, M.
_eauthor.
245 1 0 _aConvergence Methods for Double Sequences and Applications
_h[electronic resource] /
_cby M. Mursaleen, S.A. Mohiuddine.
264 1 _aNew Delhi :
_bSpringer India :
_bImprint: Springer,
_c2014.
300 _aIX, 171 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
505 0 _aChapter 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.
520 _aThis 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 the “statistical convergence”, introduced by H. Fast, which is an extension of the usual concept of sequential limits. This concept arises as an example of “convergence in density” 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.
650 0 _aMathematics.
650 0 _aGlobal analysis (Mathematics).
650 0 _aSequences (Mathematics).
650 1 4 _aMathematics.
650 2 4 _aSequences, Series, Summability.
650 2 4 _aApproximations and Expansions.
650 2 4 _aAnalysis.
700 1 _aMohiuddine, S.A.
_eauthor.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9788132216100
856 4 0 _uhttp://dx.doi.org/10.1007/978-81-322-1611-7
912 _aZDB-2-SMA
999 _c93761
_d93761