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Cesàro Summable Sequence Spaces over the Non-Newtonian Complex Field

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  • Uğur Kadak

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.

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  • Uğur Kadak, 2016. "Cesàro Summable Sequence Spaces over the Non-Newtonian Complex Field," Journal of Probability and Statistics, Hindawi, vol. 2016, pages 1-10, May.
    • Handle: RePEc:hin:jnljps:5862107
    DOI: 10.1155/2016/5862107
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