Results 1 to 10 of about 986 (68)
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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On Tauberian Remainder Theorems For Ces\`{a}ro Summability method of noninteger order [PDF]
Okur, Muhammet Ali, Totur, Ümit
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On PNT equivalences for Beurling numbers [PDF]
In classical prime number theory several asymptotic relations are considered to be "equivalent" to the prime number theorem. In the setting of Beurling generalized numbers, this may no longer be the case.
Debruyne, Gregory, Vindas Diaz, Jasson
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On General Prime Number Theorems with Remainder [PDF]
We show that for Beurling generalized numbers the prime number theorem in remainder form $$\pi(x) = \operatorname*{Li}(x) + O\left(\frac{x}{\log^{n}x}\right) \quad \mbox{for all } n\in\mathbb{N}$$ is equivalent to (for some $a>0$) $$N(x) = ax + O\left ...
Debruyne, Gregory, Vindas, Jasson
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In-Degree and PageRank of web pages: why do they follow similar power laws? [PDF]
PageRank is a popularity measure designed by Google to rank Web pages. Experiments confirm that PageRank values obey a power law with the same exponent as In-Degree values. This paper presents a novel mathematical model that explains this phenomenon. The
Litvak, N. +2 more
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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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Generalized riesz method and convergence acceleration
Several propositions on A‐boundedness for generalized Riesz method (5ft, Pn), where Pn are linear bounded operators from Banach space X into X, are proved.
I. Tammeraid
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