Cesaro Summable Sequence Spaces over the Non-Newtonian Complex Field

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Kadak U.

JOURNAL OF PROBABILITY AND STATISTICS, vol.2016, 2016 (ESCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 2016
  • Publication Date: 2016
  • Doi Number: 10.1155/2016/5862107
  • Journal Name: JOURNAL OF PROBABILITY AND STATISTICS
  • Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus, Academic Search Premier, Aerospace Database, INSPEC, zbMATH, Directory of Open Access Journals
  • Yozgat Bozok University Affiliated: Yes

Abstract

The spaces omega(p)(0), omega(p), and omega(p)(infinity) can be considered the sets of all sequences that are strongly summable to zero, strongly summable, and bounded, by the Cesaro method of order 1 with index p. Here we define the sets of sequences which are related to strong Cesaro summability over the non-Newtonian complex field by using two generator functions. Also we determine the beta-duals of the new spaces and characterize matrix transformations on them into the sets of *-bounded, *-convergent, and *-null sequences of non-Newtonian complex numbers.