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A relation between Nörlund and Abel summabilities

Author: Mehmet A. Sarıgöl
Journal: Proc. Amer. Math. Soc. 122 (1994), 223-225
MSC: Primary 40G05; Secondary 40D20, 40G10
MathSciNet review: 1254852
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Abstract: This paper gives a necessary and sufficient condition in order that every series summable by a Nörlund method with $ {p_n} = o({P_n})$ as $ n \to \infty $ should be summable by Abel's method to the same sum and so extends two theorems of Zygmund.

References [Enhancements On Off] (What's this?)

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