# Some new factor theorems for generalized absolute Cesàro summability

Some new factor theorems for generalized absolute Cesàro summability In the present paper, we introduce a new generalized absolute summability method and some new definitions on classes of pairs of sequences. By using these new definitions, we generalize the result of Bor (Math Commun 13:21–25, 2008) dealing with $$\left| C,\alpha ,\gamma ;\beta \right| _{k}$$ C , α , γ ; β k summability factors of infinite series. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Positivity Springer Journals

# Some new factor theorems for generalized absolute Cesàro summability

, Volume 19 (1) – Apr 17, 2014
10 pages

/lp/springer_journal/some-new-factor-theorems-for-generalized-absolute-ces-ro-summability-5pjOux0OPw
Publisher
Springer Basel
Subject
Mathematics; Fourier Analysis; Operator Theory; Potential Theory; Calculus of Variations and Optimal Control; Optimization; Econometrics
ISSN
1385-1292
eISSN
1572-9281
D.O.I.
10.1007/s11117-014-0286-4
Publisher site
See Article on Publisher Site

### Abstract

In the present paper, we introduce a new generalized absolute summability method and some new definitions on classes of pairs of sequences. By using these new definitions, we generalize the result of Bor (Math Commun 13:21–25, 2008) dealing with $$\left| C,\alpha ,\gamma ;\beta \right| _{k}$$ C , α , γ ; β k summability factors of infinite series.

### Journal

PositivitySpringer Journals

Published: Apr 17, 2014

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