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Now showing items 21-30 of 45

#### On generalized sequence spaces via modulus function

(Springer International Publishing AG, 2014)

In this paper, we introduce and study the concept of lacunary strongly (A,?)-convergence with respect to a modulus function and lacunary (A,?)-statistical convergence and examine some properties of these sequence spaces. ...

#### A note on generalized vertical bar a vertical bar(K)- summability factors for infinite series

(Springer International Publishing AG, 2010)

A general theorem concerning the |A|(k)-summability factors of infinite series has been proved.

#### On absolute cesaro summability

(Springer International Publishing AG, 2009)

Denote by A(k) the sequence space defined by A(k) = {(s(n)) : Sigma(infinity)(n=1) n(k-1)vertical bar a(n)vertical bar(k) < infinity, a(n) = s(n) - s(n-1)} for k >= 1. In a recent paper by E. Savas, and H. Sevli (2007), ...

#### 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 ...

#### Some further extensions of absolute cesàro summability for double series

(Springer International Publishing AG, 2013)

In a recent paper [SavaAY and Rhoades in Appl. Math. Lett. 22:1462-1466, 2009], the authors extended the result of Flett [Proc. Lond. Math. Soc. 7:113-141, 1957] to double summability. In this paper, we consider some further ...

#### On double statistical p-convergence of fuzzy numbers

(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. ...

#### 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 ...

#### 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 ...

#### On (Lambda) over-bar-statistically convergent double sequences of fuzzy numbers

(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 ı-asymptotically lacunary statistical equivalent sequences

(Springer International Publishing AG, 2013)

This paper presents the following definition, which is a natural combination of the definitions for asymptotically equivalent, I-statistically limit and I-lacunary statistical convergence. Let theta be a lacunary sequence; ...