Results 1 to 10 of about 986 (68)

Some Tauberian Remainder Theorems for Holder Summability

open access: yesMathematical Modelling and Analysis, 2015
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
doaj   +4 more sources

Generalized linear methods and gap tauberian remainder theorems

open access: yesMathematical Modelling and Analysis, 2008
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
doaj   +4 more sources

Tauberian Remainder Theorems for the Weighted Mean Method of Summability

open access: yesMathematical Modelling and Analysis, 2014
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
doaj   +5 more sources

General control modulo and Tauberian remainder theorems for (C, 1) summability

open access: yesMathematical Modelling and Analysis, 2013
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
doaj   +4 more sources

On PNT equivalences for Beurling numbers [PDF]

open access: yes, 2017
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
core   +2 more sources

On General Prime Number Theorems with Remainder [PDF]

open access: yes, 2017
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
core   +2 more sources

In-Degree and PageRank of web pages: why do they follow similar power laws? [PDF]

open access: yes, 2009
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
core   +2 more sources

Generalized nörlund method and convergence acceleration

open access: yesMathematical Modelling and Analysis, 2007
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
doaj   +1 more source

Generalized riesz method and convergence acceleration

open access: yesMathematical Modelling and Analysis, 2004
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
doaj   +1 more source

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