Summability of alterations of convergent series

Summability of alterations of convergent series

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

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Bibliographic Details
Main Author: T. A. Keagy
Format: Article
Language:English
Published: Hindawi Limited 1981-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Subjects:
ℓ−ℓ method
cs−cs method
rearrangement
splitting.
Online Access:http://dx.doi.org/10.1155/S0161171281000392
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spelling doaj-8a659cfb5b2c48b88c7c0c0ef94c24662020-11-24T23:50:21ZengHindawi LimitedInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251981-01-014354355210.1155/S0161171281000392Summability of alterations of convergent seriesT. A. Keagy0Mathematics Department, University of Texas at Tyler, Tyler 75701, Texas, USAThe effect of splitting, rearrangement, and grouping series alterations on the summability of a convergent series by ℓ−ℓ and cs−cs 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.http://dx.doi.org/10.1155/S0161171281000392ℓ−ℓ methodcs−cs methodrearrangementsplitting.
collection DOAJ
language English
format Article
sources DOAJ
author T. A. Keagy
spellingShingle T. A. Keagy
Summability of alterations of convergent series
International Journal of Mathematics and Mathematical Sciences
ℓ−ℓ method
cs−cs method
rearrangement
splitting.
author_facet T. A. Keagy
author_sort T. A. Keagy
title Summability of alterations of convergent series
title_short Summability of alterations of convergent series
title_full Summability of alterations of convergent series
title_fullStr Summability of alterations of convergent series
title_full_unstemmed Summability of alterations of convergent series
title_sort summability of alterations of convergent series
publisher Hindawi Limited
series International Journal of Mathematics and Mathematical Sciences
issn 0161-1712
1687-0425
publishDate 1981-01-01
description The effect of splitting, rearrangement, and grouping series alterations on the summability of a convergent series by ℓ−ℓ and cs−cs 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.
topic ℓ−ℓ method
cs−cs method
rearrangement
splitting.
url http://dx.doi.org/10.1155/S0161171281000392
work_keys_str_mv AT takeagy summabilityofalterationsofconvergentseries
_version_ 1725478953652584448

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