Browsing by Author "Savas, E"

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A Characterization of Absolute Summability Factors
(Mathematical Soc Rep China, 2004) Rhoades, BE; Savas, E
Let A and B be two summability methods. We shall use the notation lambda is an element of (A, B) to denote the set of all sequences lambda such that Sigmaa(n)lambda(n) is summable B, whenever Sigmaa(n) is summable A. In the present paper we characterize the sets lambda is an element of (\N,p(n)\, \T\(k)) and lambda is an element of (\(N) over bar ,p(n)\, \T\), where T is a lower triangular matrix with positive entries and row sums 1. As special cases we obtain summability factor theorems and inclusion theorems for pairs of weighted mean matrices.
Local Property of Absolute Weighted Mean Summability of Fourier Series
(Elsevier Science inc, 2004) Rhoades, BE; Savas, E
We obtain a theorem on a local property of \N, p(n)\(k), summability of factored Fourier series and a summability factor theorem for Fourier series. (C) 2003 Elsevier Inc. All rights reserved.
Matrix Transformations Between Sequence Spaces of Generalized Weighted Means
(Elsevier Science inc, 2004) Malkowsky, E; Savas, E
The main object of this paper is to introduce and study some sequence spaces which arise from concept of weighted means, determine their beta-duals and characterize matrix transformations between them. (C) 2002 Elsevier Inc. All rights reserved.
Necessary and Sufficient Conditions for Inclusion Relations for Absolute Summability
(indian Academy Sciences, 2003) Rhoades, BE; Savas, E
We obtain a set of necessary and sufficient conditions for \N.p(n)\(k) to imply \(N) over bar ,q(n)\(s) for 1 < k less than or equal to s < infinity. Using this result we establish several inclusion theorems as well as conditions for the equivalence of \(N) over bar ,p(n)\(k) and \(N) over bar ,q(n)\(s).
Necessary Conditions for Inclusion Relations for Absolute Summability
(Elsevier Science inc, 2004) Savas, E
Let 1 < k less than or equal to s < infinity. In this paper we obtain necessary conditions for a series summable \A\(k) to imply that the series is summable \B\(s), where A and B are two lower triangular matrices. We also obtain several corollaries. (C) 2003 Elsevier Inc. All rights reserved.
A Note on Sequence of Fuzzy Numbers
(Elsevier Science inc, 2000) Savas, E
In this short note, the space of bounded difference sequences of fuzzy numbers has been discussed. (C) 2000 Elsevier Science Inc. All rights reserved.
On a Recent Result on Absolute Surnmability Factors
(Pergamon-elsevier Science Ltd, 2005) Savas, E
In this paper, a general theorem of vertical bar A vertical bar(k) summability factors is presented. This generalization is accomplished by replacing the weighted mean matrix in Mazhar's theorem in [S.M. Mazhar, A remark on a recent result on absolute summability factors, Indian J. Math. 40 (2) (1998) 123-13 1] with a triangular matrix. (c) 2005 Published by Elsevier Ltd
On Absolute Summability Factors
(Rocky Mt Math Consortium, 2003) Savas, E
The purpose of this paper is to determine the conditions for which Sigmaa(n)lambda(nu) is summable \T\(s) whenever Sigmaa(n) is summable \(N) over bar ,p(n)\(k) where T is a lower triangular matrix with positive entries and row sums one. As special cases we obtain inclusion theorems for pairs of weighted mean matrices.
On Some Generalized Sequence Spaces Defined by a Modulus
(indian Nat Sci Acad, 1999) Savas, E
In this paper we introduced an alternative definition of strongly almost A-summability with respect to a modulus. This definition seems to be more natural and contains the definition of strongly almost convergence with respect to a modulus as a special case.
On Statistically Convergent Double Sequences of Fuzzy Numbers
(Elsevier Science inc, 2004) Savas, E; Mursaleen
In this paper, we continue the study the notion of statistically convergent and statistically Cauchy for double sequences of fuzzy numbers. (C) 2003 Elsevier Inc. All rights reserved.
On Statistically Convergent Sequences of Fuzzy Numbers
(Elsevier Science inc, 2001) Savas, E
In this paper we study some equivalent alternative conditions for a sequence of fuzzy numbers to be statistically Cauchy. (C) 2001 Elsevier Science Inc. All rights reserved.
On Strongly Almost Convergent Sequences of Fuzzy Numbers
(Joint Conference information Sciences, 2005) Savas, E
In this paper, we introduce and study some now sequence spaces of fuzzy numbers generated by an infinite matrix A = (a(nk)) (n, k = 1, 2, ...).
On Strongly Λ-Summable Sequences of Fuzzy Numbers
(Elsevier Science inc, 2000) Savas, E
In this paper we introduce and study the concepts of strongly lambda-summable and lambda-statistical convergence. (C) 2000 Elsevier Science Inc. All rights reserved.
Some Necessary Conditions for Absolute Matrix Summability Factors
(indian Nat Sci Acad, 2002) Rhoades, BE; Savas, E
We obtain necessary conditions for a lower triangular matrix to have the property that Sigma a(n) lambda(n) is summable \ T \(k) whenever the series Sigma a(n) is bounded \ T \(k).
Some Λ-Sequence Spaces Defined by Orlicz Functions
(indian Nat Sci Acad, 2003) Savas, E; Savas, R
In this paper we introduce a new concept of lambda-strong sigma-convergence with respect to an Orlicz function and examine some topological properties of the resulting sequence spaces and we prove some inclusion theorems.
A Summability Factor Theorem and Applications
(Elsevier Science inc, 2004) Rhoades, BE; Savas, E
We obtain sufficient conditions for the series Sigma a(n), which is absolutely summable of order k by a weighted mean method, to be such that Sigma epsilon(n)a(n) is absolutely summable of order k by a triangular matrix. As corollaries we obtain a number of inclusion theorems. (C) 2003 Elsevier Inc. All rights reserved.