000723059 000__ 03383cam\a2200433Ki\4500
000723059 001__ 723059
000723059 005__ 20230306140330.0
000723059 006__ m\\\\\o\\d\\\\\\\\
000723059 007__ cr\cn\nnnunnun
000723059 008__ 131115s2014\\\\ii\\\\\\ob\\\\000\0\eng\d
000723059 019__ $$a880589432
000723059 020__ $$a9788132216117$$qelectronic book
000723059 020__ $$a8132216113$$qelectronic book
000723059 020__ $$z9788132216100
000723059 0247_ $$a10.1007/978-81-322-1611-7$$2doi
000723059 035__ $$aSP(OCoLC)ocn863049071
000723059 035__ $$aSP(OCoLC)863049071$$z(OCoLC)880589432
000723059 040__ $$aGW5XE$$beng$$erda$$epn$$cGW5XE$$dN$T$$dYDXCP$$dE7B$$dIDEBK$$dGGVRL$$dOCLCF$$dCOO$$dVT2$$dTPH
000723059 049__ $$aISEA
000723059 050_4 $$aQA295
000723059 08204 $$a515/.24$$223
000723059 1001_ $$aMursaleen, M.,$$eauthor.
000723059 24510 $$aConvergence methods for double sequences and applications$$h[electronic resource] /$$cM. Mursaleen, S.A. Mohiuddine.
000723059 264_1 $$aNew Delhi :$$bSpringer,$$c2014.
000723059 300__ $$a1 online resource (ix, 171 pages)
000723059 336__ $$atext$$btxt$$2rdacontent
000723059 337__ $$acomputer$$bc$$2rdamedia
000723059 338__ $$aonline resource$$bcr$$2rdacarrier
000723059 504__ $$aIncludes bibliographical references.
000723059 5050_ $$aChapter 1: Almost and statistical convergence of ordinary sequences: A preview -- Chapter 2: Almost convergence of double sequences -- Chapter 3: Almost regular matrices -- Chapter 4: Absolute almost convergence of double sequences -- Chapter 5: Almost convergence and core theorems -- Chapter 6: Application of almost convergence in approximation theorems for functions of two variables -- Chapter 7: Statistical convergence of double sequences -- Chapter 8: Statistical approximation of positive linear operators -- Chapter 9: Double series and convergence tests.
000723059 506__ $$aAccess limited to authorized users.
000723059 520__ $$aThis book exclusively deals with the study of almost convergence and statistical convergence of double sequences. The notion of almost convergence is perhaps the most useful notion in order to obtain a weak limit of a bounded non-convergent sequence. There is another notion of convergence known as the statistical convergence, introduced by H. Fast, which is an extension of the usual concept of sequential limits. This concept arises as an example of convergence in density which is also studied as a summability method. Even unbounded sequences can be dealt with by using this method. The book also discusses the applications of these non-matrix methods in approximation theory. Written in a self-contained style, the book discusses in detail the methods of almost convergence and statistical convergence for double sequences along with applications and suitable examples. The last chapter is devoted to the study convergence of double series and describes various convergence tests analogous to those of single sequences. In addition to applications in approximation theory, the results are expected to find application in many other areas of pure and applied mathematics such as mathematical analysis, probability, fixed point theory and statistics.
000723059 588__ $$aDescription based on online resource; title from PDF title page (SpringerLink, viewed October 21, 2013).
000723059 650_0 $$aConvergence.
000723059 7001_ $$aMohiuddine, S. A.,$$eauthor.
000723059 852__ $$bebk
000723059 85640 $$3SpringerLink$$uhttps://univsouthin.idm.oclc.org/login?url=http://link.springer.com/10.1007/978-81-322-1611-7$$zOnline Access$$91397441.1
000723059 909CO $$ooai:library.usi.edu:723059$$pGLOBAL_SET
000723059 980__ $$aEBOOK
000723059 980__ $$aBIB
000723059 982__ $$aEbook
000723059 983__ $$aOnline
000723059 994__ $$a92$$bISE