Results 1 to 10 of about 66 (50)
Some Tauberian Remainder Theorems for Holder Summability
In this paper, we prove some Tauberian remainder theorems that generalize the results given by Meronen and Tammeraid [Math. Model. Anal., 18(1):97– 102, 2013] for Holder summability method using the notion of the general control modulo of the oscillatory
Umit Totur, Muhammet Ali Okur
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Generalized linear methods and gap tauberian remainder theorems
Some gap Tauberian remainder theorems are proved for generalized linear methods A = (Ank) , where Ank are bounded linear operators from Banach space X into X. In these theorems the investigated sequences have infinitely many constant pieces.
Olga Meronen, Ivar Tammeraid
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Tauberian Remainder Theorems for the Weighted Mean Method of Summability
Using the weighted general control modulo, we prove several Tauberian remainder theorems for the weighted mean method of summability. Our results generalize the results proved by Meronen and Tammeraid [Math. Model. Anal. 18 (1) 2013, 97–102].
Sefa Anil Sezer, Ibrahim Canak
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General control modulo and Tauberian remainder theorems for (C, 1) summability
We prove for the (C, 1) summability method several Tauberian remainder theorems using the general control modulo of the oscillatory behavior.
Olga Meronen, Ivar Tammeraid
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Géza Freud's work on Tauberian remainder theorems
This illuminating survey paper, dedicated to the memory of Géza Freud, states the Tauberian theorems of Tauber, Hardy and Littlewood; next Freud's Tauberian remainder theorem, and, as an essential tool for the proof, Freud's approximation theorem are given. Finally, more general Tauberian remainder theorems, due to the author, are discussed.
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On two Tauberian remainder theorems [PDF]
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Tauberian remainder theorems for the Borel methods.
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Generalized nörlund method and convergence acceleration
Some propositions on λ‐boundedness for generalized Nörlund method of summability (N, Pn ), where Pn are bounded linear operators from Banach space X into X, are proved. Using these results we have verified some propositions on convergence acceleration by
Olga Meronen, Ivar Tammeraid
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