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Generalized Absolute Riesz Summability of Orthogonal Series
Published in Springer International Publishing
Volume: 140
Issue: 1-2
Pages: 185 - 194
In this paper, for 1 ≤ k ≤ 2 and a sequence γ:={γ(n)}n=1∞ that is quasi β-power monotone decreasing with β>1−1k, we prove the |A, γ|k summability of an orthogonal series, where A is Riesz matrix. For β>12, we give a necessary and sufficient condition for |A, γ|k summability, where A is Riesz matrix. Our result generalizes the result of Moricz (Acta Sci Math 23:92–95, 1962) for absolute Riesz summability of an orthogonal series. © 2018, Springer Nature Switzerland AG.
About the journal
JournalData powered by TypesetTrends in Mathematics Advances in Algebra and Analysis
PublisherData powered by TypesetSpringer International Publishing
Open AccessNo