İbrahim Çanak
Ege University
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Publication
Featured researches published by İbrahim Çanak.
Abstract and Applied Analysis | 2010
İbrahim Çanak; Mehmet Dik
A new concept of quasi slowly oscillating continuity is introduced. Furthermore, it is shown that this kind of continuity implies ordinary continuity, but the converse is not always true.
Abstract and Applied Analysis | 2007
İbrahim Çanak; Ümit Totur
We prove a Tauberian theorem to recover moderate oscillation of a real sequence u=(un) out of Abel limitability of the sequence (Vn(1)(Δu)) and some additional condition on the general control modulo of oscillatory behavior of integer order of u=(un).
Journal of Intelligent and Fuzzy Systems | 2014
İbrahim Çanak
We state and prove a fuzzy analogue of a Theorem due to Moricz and Rhoades [Acta Math. Hungar. 102 (4) (2004), 279–285].
Journal of Intelligent and Fuzzy Systems | 2016
İbrahim Çanak
In this paper we use the concept of the Cesaro convergence of a sequence of fuzzy numbers defined by Subrahmanyam [Cesaro summability of fuzzy real numbers, Anal, 7 (1999), 159–168] to prove some Tauberian theorems for sequences of fuzzy numbers and obtain fuzzy analogues of some classical Tauberian theorems for Cesaro summability of sequences of fuzzy numbers as a corollary.
Computers & Mathematics With Applications | 2011
İbrahim Çanak; ímit Totur
In this paper, we introduce the concept of the weighted generator sequence and prove that certain conditions in terms of weighted generator sequences are Tauberian conditions for the weighted mean summability method.
Computers & Mathematics With Applications | 2012
ímit Totur; İbrahim Çanak
In this paper, we obtain some new Tauberian theorems for the weighted mean summability method via a weighted general control modulo analogous to the one defined by Dik [M. Dik, Tauberian theorems for sequences with moderately oscillatory control moduli, Math. Morav. 5 (2001) 57-94].
Journal of Intelligent and Fuzzy Systems | 2015
Zerrin Önder; Sefa Anıl Sezer; İbrahim Çanak
In this paper, a Tauberian theorem of slowly decreasing type is proved for the weighted mean method of summability of sequences of fuzzy numbers.
Applied Mathematics Letters | 2011
İbrahim Çanak; Ümit Totur
In this paper we generalize some classical type Tauberian theorems given for Cesaro summability of integrals.
Mathematical and Computer Modelling | 2010
İbrahim Çanak; Yılmaz Erdem; ímit Totur
In this paper we give some Tauberian conditions in order to obtain (C,@a) summability from (A)(C,@a) summability.
Applied Mathematics and Computation | 2010
İbrahim Çanak; ímit Totur
In this paper we retrieve slow oscillation of a real sequence from Cesaro summability of its generator sequence under some one-sided condition.