Characterization on some absolute summability factors of infinite series.
Sulaiman, W.T. (1999)
International Journal of Mathematics and Mathematical Sciences
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Sulaiman, W.T. (1999)
International Journal of Mathematics and Mathematical Sciences
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S. N. Bhatt (1964)
Matematički Vesnik
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P. Erdös (1952)
Publications de l'Institut Mathématique [Elektronische Ressource]
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Y. Sitaraman (1967)
Mathematische Zeitschrift
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Y. Sitaraman (1968)
Mathematische Zeitschrift
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M.S. Rangachari (1967)
Mathematische Zeitschrift
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T. Pati (1954/55)
Mathematische Zeitschrift
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C.T. Rajagopal, M.R. Parameswaran (1960)
Mathematische Zeitschrift
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Ferenc Móricz (2000)
Studia Mathematica
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Given ⨍ ∈ , denote by s(w,z) its integral over the rectangle [0,w]× [0,z] and by σ(u,v) its (C,1,1) mean, that is, the average value of s(w,z) over [0,u] × [0,v], where u,v,w,z>0. Our permanent assumption is that (*) σ(u,v) → A as u,v → ∞, where A is a finite number. First, we consider real-valued functions ⨍ and give one-sided Tauberian conditions which are necessary and sufficient in order that the convergence (**) s(u,v) → A as u,v → ∞ follow from (*). Corollaries allow these...
Mangalam R. Parameswaran (1975)
Mathematische Zeitschrift
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Hüseyın Bor (1991)
Annales Polonici Mathematici
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Four theorems of Ahmad [1] on absolute Nörlund summability factors of power series and Fourier series are proved under weaker conditions.
Lal, Shyam, Nigam, Hare Krishna (2001)
International Journal of Mathematics and Mathematical Sciences
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