On General Summability Factor Theorems
<p/> <p>The goal of this paper is to obtain sufficient and (different) necessary conditions for a series <inline-formula><graphic file="1029-242X-2007-010892-i1.gif"/></inline-formula>, which is absolutely summable of order <inline-formula><graphic fi...
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2007-01-01
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| Series: | Journal of Inequalities and Applications |
| Online Access: | http://www.journalofinequalitiesandapplications.com/content/2007/010892 |
| Summary: | <p/> <p>The goal of this paper is to obtain sufficient and (different) necessary conditions for a series <inline-formula><graphic file="1029-242X-2007-010892-i1.gif"/></inline-formula>, which is absolutely summable of order <inline-formula><graphic file="1029-242X-2007-010892-i2.gif"/></inline-formula> by a triangular matrix method <inline-formula><graphic file="1029-242X-2007-010892-i3.gif"/></inline-formula>, <inline-formula><graphic file="1029-242X-2007-010892-i4.gif"/></inline-formula>, to be such that <inline-formula><graphic file="1029-242X-2007-010892-i5.gif"/></inline-formula> is absolutely summable of order <inline-formula><graphic file="1029-242X-2007-010892-i6.gif"/></inline-formula> by a triangular matrix method <inline-formula><graphic file="1029-242X-2007-010892-i7.gif"/></inline-formula>. As corollaries, we obtain two inclusion theorems.</p> |
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| ISSN: | 1025-5834 1029-242X |