Browsing by Author "Savaş, Ekrem"
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Asequence spaces in 2normed space defined by ideal convergence and an orlicz function
Savaş, Ekrem (Hindawi Publishing Corporation, 2011)We study some new Asequence spaces using ideal convergence and an Orlicz function in 2normed space and we give some relations related to these sequence spaces. 
Double almost lacunary statistical convergence of order alpha
Savaş, Ekrem (Springer International Publishing AG, 2013)In this paper, we define and study lacunary double almost statistical convergence of order alpha. Further, some inclusion relations have been examined. We also introduce a new sequence space by combining lacunary double ... 
Double almost statistical convergence of order alpha
Savaş, Ekrem (Springer International Publishing AG, 2013)The goal of this paper is to define and study lambdadouble almost statistical convergence of order alpha. Further some inclusion relations are examined. We also introduce a new sequence space by combining the double almost ... 
Doublesequence transformations that guarantee a given rate of pconvergence
Patterson, Richard F.; Savaş, Ekrem (Univ Nis, 2011)In this paper the following sequence space is presented. Let [t] be a positive double sequence and define the sequence space Omega '' (t) = {complex sequences x : x(k,l) = O(t(k,l))}. The set of geometrically dominated ... 
An Extension Of Asymptotically Lacunary Statistical Equivalence Set Sequences
Ulusu, Ugur; Savaş, Ekrem (Springer International Publishing AG, 2014)This paper presents, for sequences of sets, the notions of asymptotically lacunary statistical equivalence (in the sense of Wijsman) of multiplicity L, strongly asymptotically lacunary pequivalence (in the sense of Wijsman) ... 
A generalization on a"asymptotically lacunary statistical equivalent sequences
Savaş, Ekrem; Gümüş, Hafize (Springer International Publishing AG, 2013)In this study we extend the concept of a"asymptotically lacunary statistical equivalent sequences by using the sequence which is the sequence of positive real numbers where theta is a lacunary sequence and a" is an ideal ... 
Lacunary Statistical Convergence Of Double Sequences In Topological Groups
Savaş, Ekrem (Springer International Publishing AG, 2014)Recently, Patterson and Sava (Math. Commun. 10:5561, 2005), defined the lacunary statistical analog for double sequences x = (x(k, I)) as follows: A real double sequences x = (x(k, I)) is said to be Placunary statistically ... 
(Lambda) overbardouble sequence spaces of fuzzy real numbers defined by Orlicz function
Savaş, Ekrem (Univ Osijek, 200912)In this paper we define and study two concepts which arise from the notion of de la ValleePoussin means, namely: strongly double (lambda) over bar convergence defined by Orlicz function and (lambda) over bar statistical ... 
Lambdastatistical convergence in nnormed spaces
Hazarika, Bipan; Savaş, Ekrem (Ovidius Univ Press, 2013)In this paper, we introduce the concept of lambdastatistical convergence in nnormed spaces. Some inclusion relations between the sets of statistically convergent and lambdastatistically convergent sequences are established. ... 
Matrix summability of statistically pconvergence sequences
Patterson, Richard F.; Savaş, Ekrem (Univ Nis, 2011)Matrix summability is arguable the most important tool used to characterize sequence spaces. In 1993 Kolk presented such a characterization for statistically convergent sequence space using nonnegative regular matrix. The ... 
Necessary conditions for double summability factor theorem
Savaş, Ekrem (Univ Miskolc Inst Math., 2010)We obtain necessary conditions for the series Sigma Sigma c(mn), which is absolutely summable of order k by a doubly triangular matrix method A, to be such that Sigma Sigma c(mn)lambda(mn) is absolutely summable of order ... 
A note on generalized absolute summability factors
Savaş, Ekrem (Univ Osijek, 201012)In this paper, a general theorem on vertical bar A, delta vertical bar ksummability factors of infinite series has been proved under weaker conditions. 
A note on generalized vertical bar a vertical bar(K) summability factors for infinite series
Savaş, Ekrem (Springer International Publishing AG, 2010)A general theorem concerning the A(k)summability factors of infinite series has been proved. 
A note on some strongly sequence spaces
Savaş, Ekrem; Kılıçman, Adem (Hindawi Publishing Corporation, 2011)We introduce and study new sequence spaces which arise from the notions of generalized de la ValleePoussin means, invariant means, and modulus functions. 
A note on A(K) summability factors for infinite series
Savaş, Ekrem (Springer, 2007)We obtain sufficient conditions on a nonnegative lower triangular matrix A and a sequence lambda(n) for the series Sigma a(n)lambda(n)/na(nn) to be absolutely summable of order k >= 1 by A. Copyright (c) 2007 E. Savas, and ... 
On (Lambda) overbarstatistically convergent double sequences of fuzzy numbers
Savaş, Ekrem (Springer International Publishing AG, 2008)We study the notion of (lambda) over bar statistically convergent for double sequence of fuzzy numbers and also get some inclusion relations. Copyright (C) 2008 Ekrem Savas. 
On absolute cesaro summability
Şevli, Hamdullah; Savaş, Ekrem (Springer International Publishing AG, 2009)Denote by A(k) the sequence space defined by A(k) = {(s(n)) : Sigma(infinity)(n=1) n(k1)vertical bar a(n)vertical bar(k) < infinity, a(n) = s(n)  s(n1)} for k >= 1. In a recent paper by E. Savas, and H. Sevli (2007), ... 
On asymptotically (lambda, sigma)statistical equivalent sequences of fuzzy numbers
Savaş, Ekrem; Şevli, Hamdullah; Cancan, Murat (SpringerHindawi Publishing Corporation, 2010)The goal of this paper is to give the asymptotically (lambda, sigma)statistical equivalent which is a natural combination of the definition for asymptotically equivalent, invariant mean and lambdastatistical convergence ... 
On double sequences of continuous functions having continuous plimits ıı
Patterson, Richard F.; Savaş, Ekrem (Univ Nis, 2013)The goal of this paper is to relax the conditions of the following theorem: Let A be a compact closed set; let the double sequence of function s(1,1)(x), s(1,2)(x) s(1,3)(x) ... s(2,1)(x), s(2,2)(x) s(2,3)(x) ... ... 
On double statistical pconvergence of fuzzy numbers
Savaş, Ekrem; Patterson, Richard F. (Springer International Publishing AG, 2009)Savas and Mursaleen defined the notions of statistically convergent and statistically Cauchy for double sequences of fuzzy numbers. In this paper, we continue the study of statistical convergence by proving some theorems. ...