Abstract
We obtain necessary conditions for a doubly triangular matrix A to have the property that a double series ΣΣ λ mn b mn is summable |A| k whenever the series ΣΣb mn is bounded |A| k .
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B. E. Rhoades and E. Savas, Some necessary conditions for absolute matrix summability factors, Indian J. Pure Appl. Math., 33 (2002), 1003–1009.
E. Savas and B. E. Rhoades, Double absolute summability factor theorems and applications, Nonlinear Analysis, 69 (2008), 189–200.
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Communicated by György Petruska
Support from the Scientific and Technical Research Council of Turkey in the preparation of this paper is acknowledged.
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Savaş, E., Rhoades, B.E. Necessary conditions for absolute double matrix summability factors. Period Math Hung 62, 121–126 (2011). https://doi.org/10.1007/s10998-011-6121-9
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DOI: https://doi.org/10.1007/s10998-011-6121-9