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Bücher Englische Bücher Wissen & Bildung Naturwissenschaft, Medizin, Informatik, Technik Mathematik Analysis Convergence Methods for Double Sequences and Applications
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Convergence Methods for Double Sequences and Applications
M. Mursaleen, S.A. Mohiuddine (Gebundene Ausgabe, Englisch)
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Beschreibung
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 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. Dieses Produkt haben wir gerade leider nicht auf Lager.
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Technische Daten
Erscheinungsdatum
06.11.2013
Sprache
Englisch
EAN
9788132216100
Herausgeber
Springer India
Sonderedition
Nein
Autor
M. Mursaleen, S.A. Mohiuddine
Seitenanzahl
171
Einbandart
Gebundene Ausgabe
Schlagwörter
Convergence of double series, Double sequences, Korovkin type approximation theorems, Statistical convergence
Thema-Inhalt
PBK - Mathematische Analysis, allgemein
PBKJ - Differentialrechnung und -gleichungen
Höhe
235 mm
Breite
15.5 cm
Transparenz & Sicherheit
Hersteller: Springer Nature Customer Service Center GmbH, Europaplatz 3, Heidelberg, Deutschland, 69115, ProductSafety@springernature.com
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