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Summability of alterations of convergent series

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  • T. A. Keagy

Abstract

The effect of splitting, rearrangement, and grouping series alterations on the summability of a convergent series by ℓ − ℓ and c s − c s matrix methods is studied. Conditions are determined that guarantee the existence of alterations that are transformed into divergent series and into series with preassigned sums.

Suggested Citation

  • T. A. Keagy, 1981. "Summability of alterations of convergent series," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 4, pages 1-10, January.
    • Handle: RePEc:hin:jijmms:916247
    DOI: 10.1155/S0161171281000392
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