Browsing by Author "Sevli, H."

Now showing 1 - 9 of 9

Intuitionistic Fuzzy Stability of a Jensen Functional Equation Via Fixed Point Technique
(Pergamon-elsevier Science Ltd, 2011) Mohiuddine, S. A.; Cancan, M.; Sevli, H.
The object of this paper is to determine Hyers-Ulam-Rassias stability concerning the Jensen functional equation in intuitionistic fuzzy normed space (IFNS) by using the fixed point method. Further, we establish stability of the Cauchy functional equation in IFNS. (C) 2011 Elsevier Ltd. All rights reserved.
On Asymptotically (Λ, Σ)-Statistical Equivalent Sequences of Fuzzy Numbers
(Springer, 2010) Savas, Ekrem; Sevli, H.; Cancan, M.
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 lambda-statistical convergence of fuzzy numbers.
On the Absolute Summability Factors of Infinite Series Involving Quasi-Power Sequences
(Pergamon-elsevier Science Ltd, 2009) Sevli, H.; Leindler, L.
In this paper, we prove two theorems on vertical bar A vertical bar(k), k >= 1, summability factors for an infinite series by replacing a Riesz matrix with a lower triangular matrix and using quasi-power-increasing sequences instead of almost increasing sequences. We obtain sufficient conditions for Sigma a(n)lambda(n) to be summable vertical bar A vertical bar(k), k >= 1, by using quasi-f-increasing sequences. (C) 2008 Elsevier Ltd. All rights reserved.
On the Cesaro Summability of Double Series
(Springer international Publishing Ag, 2008) Savas, E.; Sevli, H.; Rhoades, B. E.
In a recent paper by Savas, and Sevli (2007), it was shown that each Cesaro matrix of order alpha, for alpha > -1, is absolutely kth power conservative for k >= 1. In this paper we extend this result to double Cesaro matrices. Copyright (C) 2008.
A Recent Note on Quasi-Power Increasing Sequence for Generalized Absolute Summability
(Springer, 2009) Savas, E.; Sevli, H.
We prove two theorems on vertical bar A,delta vertical bar(k), k >= 1,0 <= delta < 1/k, summability factors for an infinite series by using quasi-power increasing sequences. We obtain sufficient conditions for Sigma a(n)lambda(n) to be summable vertical bar A,delta vertical bar(k), k >= 1, 0 <= delta < 1/k, by using quasi-f-increasing sequences. Copyright (C) 2009 E. Savas, and H. Sevli.
Statistical Convergence in Fuzzy 2-Normed Space
(Eudoxus Press, Llc, 2010) Mohiuddine, S. A.; Sevli, H.; Cancan, M.
Motivated by the notion of 2-norm due to Gahler [S. Gahler, 2-metrische Raume und ihre topologische Struktur, Math. Nachr. 26 (1963) 115-148], in this paper we define and study the concept of statistical convergence and statistically Cauchy sequence in fuzzy 2-normed space which provide better tool to study a more general class of sequences. We also introduce here statistical limit point and statistical cluster point in fuzzy 2-normed space.
Statistical Convergence of Double Sequences in Fuzzy Normed Spaces
(Univ Nis, Fac Sci Math, 2012) Mohiuddine, S. A.; Sevli, H.; Cancan, M.
In this paper, we study the concepts of statistically convergent and statistically Cauchy double sequences in the framework of fuzzy normed spaces which provide better tool to study a more general class of sequences. We also introduce here statistical limit point and statistical cluster point for double sequences in this framework and discuss the relationship between them.
Sufficient Conditions for Factorable Matrices To Be Bounded Operators on Ak
(Rocky Mt Math Consortium, 2009) Savas, E.; Sevli, H.; Rhoades, B. E.
A factorable matrix A is a lower triangular matrix with entries a(nk) = a(n)b(k). The sequence space A(k) is defined in (2). In this paper we determine sufficient conditions for a nonnegative factorable matrix A to be a bounded operator on A(k), i.e., A is an element of B(A(k)). As corollaries we obtain sufficient conditions for the discrete Cesdro, terraced, and P-Cesaro matrices defined by Rhaly, to be in B(A(k)).
Triangles Which Are Bounded Operators on Ak
(Malaysian Mathematical Sciences Soc, 2009) Savas, E.; Sevli, H.; Rhoades, B. E.
A lower triangular infinite matrix is called a triangle if there are no zeros on the principal diagonal. The main result of this paper gives a minimal set of sufficient conditions for a triangle T : A(k) -> A(k) for the sequence space A(k) defined as follows: A(k) := {{s(n)} : (n=1)Sigma(infinity)n(k-1)vertical bar a(n)vertical bar(k) < infinity, a(n) = s(n) - s(n-1)}.