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Now showing items 1-10 of 39

#### On ı-convergence of nets in locally solid riesz spaces

(Univ Nis, 2013)

In this paper, following the line of [13] and [6], we introduce the ideas of I-tau-convergence, I-tau-boundedness and I-tau-Cauchy condition of nets in a locally solid Riesz space endowed with a topology tau and investigate ...

#### (Lambda) over-bar-double sequence spaces of fuzzy real numbers defined by Orlicz function

(Univ Osijek, 2009-12)

In this paper we define and study two concepts which arise from the notion of de la Vallee-Poussin means, namely: strongly double (lambda) over bar -convergence defined by Orlicz function and (lambda) over bar -statistical ...

#### Lambda-statistical convergence in n-normed spaces

(Ovidius Univ Press, 2013)

In this paper, we introduce the concept of lambda-statistical convergence in n-normed spaces. Some inclusion relations between the sets of statistically convergent and lambda-statistically convergent sequences are established. ...

#### A recent note on quasi-power increasing sequence for generalized absolute summability

(Springer, 2009)

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 summability factor theorem for quasi-power-increasing sequences

(Springer, 2010)

We establish a summability factor theorem for summability vertical bar A, delta vertical bar(k), where A is lower triangular matrix with nonnegative entries satisfying certain conditions. This paper is an extension of the ...

#### Necessary conditions for double summability factor theorem

(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 |A|(K) summability factors for infinite series

(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 general summability factor theorems

(Springer International Publishing AG, 2007)

The goal of this paper is to obtain sufficient and (different) necessary conditions for a series Sigma a(n), which is absolutely summable of order k by a triangular matrix method A, 1 < k <= s < infinity, to be such that ...

#### On two-valued measure and double statistical convergence in 2-normed spaces

(Springer International Publishing AG, 2013)

In this paper we introduce some new double difference lacunary sequence spaces using Orlicz functions, generalized double difference sequences and a two-valued measure mu in 2-normed spaces, and we also examine some of ...

#### On generalized a- difference strongly summable sequence spaces defined by ideal convergence on a real n-normed space

(Springer International Publishing AG, 2012)

In this article, we shall introduce a new class of ideal convergent (briefly I-convergent) sequence spaces using, infinite matrix, an Orlicz function and difference operator defined on n-normed spaces. We study these spaces ...