Results 1 to 10 of about 30 (30)
Tauberian theorems for statistically (C,1,1) summable double sequences of fuzzy numbers
Open Mathematics, 2017 In this paper, we prove that a bounded double sequence of fuzzy numbers which is statistically convergent is also statistically (C, 1, 1) summable to the same number. We construct an example that the converse of this statement is not true in general.
Önder Zerrin +2 more
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Ingham Tauberian theorem with an estimate for the error term
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 64, Page 4025-4031, 2003., 2003 We estimate the error term in the Ingham Tauberian theorem. This estimation of the error term is accomplished by considering an elementary proof of a weak form of Wiener′s general Tauberian theorem and by using a zero‐free region for the Riemann zeta function.
E. P. Balanzario, E. Marmolejo-Olea
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International Journal of Mathematics and Mathematical Sciences, Volume 27, Issue 7, Page 399-406, 2001., 2001 We prove necessary and sufficient Tauberian conditions for sequences summable by weighted mean methods. The main results of this paper apply to all weighted mean methods and unify the results known in the literature for particular methods. Among others, the conditions in our theorems are easy consequences of the slowly decreasing condition for real ...
Ferenc Móricz, Ulrich Stadtmüller
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Tauberian conditions for Conull spaces
International Journal of Mathematics and Mathematical Sciences, Volume 8, Issue 4, Page 689-692, 1985., 1985 The typical Tauberian theorem asserts that a particular summability method cannot map any divergent member of a given set of sequences into a convergent sequence. These sets of sequences are typically defined by an “order growth” or “gap” condition. We establish that any conull space contains a bounded divergent member of such a set; hence, such sets ...
J. Connor, A. K. Snyder
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, 2020 In this paper we define the Ces´aro second-order summability method for fuzzy numbers and prove Korovkin type theorem, then as the application of it, we prove the rate of convergence.
LOKU, Valdete, BRAHA, Naim L.
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Some Tauberian theorems for Euler and Borel summability
International Journal of Mathematics and Mathematical Sciences, Volume 3, Issue 4, Page 731-738, 1980., 1979 The well‐known summability methods of Euler and Borel are studied as mappings from ℓ1 into ℓ1. In this ℓ − ℓ setting, the following Tauberian results are proved: if x is a sequence that is mapped into ℓ1 by the Euler‐Knopp method Er with r > 0 (or the Borel matrix method) and x satisfies , then x itself is in ℓ1.
J. A. Fridy, K. L. Roberts
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Some conditions under which subsequential convergence follows from (A, m) summability
, 2010 In this paper, we obtain some conditions on a sequence under which subsequential convergence (Math. Morav. 5, 19-56 (2001; Zbl 1047.40005)) of the sequence follows from its (A, m) summability. 2010 Mathematics Subject Classifications. 40A05, 40E05, 40G05.
Mehmet Dik, İbrahim Çanak, Ümit Totur
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© Hindawi Publishing Corp. INGHAM TAUBERIAN THEOREM WITH AN ESTIMATE FOR THE ERROR TERM
, 2003 We estimate the error term in the Ingham Tauberian theorem. This estimation of the error term is accomplished by considering an elementary proof of a weak form of Wiener’s general Tauberian theorem and by using a zero-free region for the Riemann zeta ...
E. Marmolejo-olea, E. P. Balanzario
core
Tauberian theorems for Abel limitability method
Open Mathematics, 2008 Çanak İbrahim, Totur Ümit
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Matrix transformations of sequences and applications in Fourier analysis. [PDF]
HeliyonGoginava U +3 more
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