Cesàro Summable Sequence Spaces over the Non-Newtonian Complex Field

Uğur Kadak

Journal of Probability and Statistics, 2016, vol. 2016, 1-10

Abstract:

The spaces , , and can be considered the sets of all sequences that are strongly summable to zero, strongly summable, and bounded, by the Cesà ro method of order with index . Here we define the sets of sequences which are related to strong Cesà ro summability over the non-Newtonian complex field by using two generator functions. Also we determine the -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.

Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnljps:5862107

DOI: 10.1155/2016/5862107

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