Tripathy, Binod Chandra; Hazarika, Bipan \(I\)-monotonic and \(I\)-convergent sequences. (English) Zbl 1232.40001 Kyungpook Math. J. 51, No. 2, 233-239 (2011). The authors address the notion of \(I\)-monotonic sequences. They obtain the decomposition theorem based on the definition of T. Šalát, B. C. Tripathy and M. Ziman [Tatra Mt. Math. Publ. 28, No. 2, 279–286 (2004; Zbl 1110.40002)] and extend some results on such sequences. Moreover, the different notions of convergence of series for real or complex numbers is generalized. Reviewer: Yilmaz Erdem (Aydin) Cited in 22 Documents MSC: 40A35 Ideal and statistical convergence 40D09 Structure of summability fields 40D20 Summability and bounded fields of methods Keywords:\(I\)-convergence; \(I\)-bounded; monotonic sequence; \(I\)-convergent series Citations:Zbl 1110.40002 PDFBibTeX XMLCite \textit{B. C. Tripathy} and \textit{B. Hazarika}, Kyungpook Math. J. 51, No. 2, 233--239 (2011; Zbl 1232.40001) Full Text: DOI