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010   $a9788132216117
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024 7 $a10.1007/978-81-322-1611-7
035   $a(OCoLC)863049071
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035   $a(MiAaPQ)EBC1538926
035   $a(CKB)2550000001153284
035   $a(MiFhGG)9788132216117
035   $a(DE-He213)978-81-322-1611-7
035   $a(EXLCZ)992550000001153284
100   $a20131017d2014      u|         0
101 0 $aeng
135   $aurun|---uuuua
181   $ctxt
182   $cc
183   $acr
200 10$aConvergence Methods for Double Sequences and Applications /$fby M. Mursaleen, S.A. Mohiuddine
205   $a1st ed. 2014.
210  1$aNew Delhi :$cSpringer India :$cImprint: Springer,$d2014.
215   $a1 online resource (ix, 171 pages)
225 0 $aGale eBooks
300   $aDescription based upon print version of record.
311 08$a9788132216100 
311 08$a8132216105 
320   $aIncludes bibliographical references.
327   $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.
330   $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.
606   $aSequences (Mathematics)
606   $aApproximation theory
606   $aMathematical analysis
606   $aSequences, Series, Summability
606   $aApproximations and Expansions
606   $aAnalysis
615  0$aSequences (Mathematics)
615  0$aApproximation theory.
615  0$aMathematical analysis.
615 14$aSequences, Series, Summability.
615 24$aApproximations and Expansions.
615 24$aAnalysis.
676   $a511.4
700   $aMursaleen$b M$4aut$4http://id.loc.gov/vocabulary/relators/aut$01059247
702   $aMohiuddine$b S. A.
801  0$bMiFhGG
801  1$bMiFhGG
906   $aBOOK
912   $a9910300143403321
996   $aConvergence Methods for Double Sequences and Applications$92504761
997   $aUNINA