Browsing by Author "Bilgin, T"

Now showing 1 - 4 of 4

Lacunary Strong (aσ,p)-Convergence
(Springer Heidelberg, 2005) Bilgin, T
The definition of lacunary strongly convergence is extended to the definition of lacunary strong (A(sigma), p)-convergence with respect to invariant mean when A is an infinite matrix and p = (p(i)) is a strictly positive sequence. We study some properties and inclusion relations.
Lacunary Strong A-Convergence With Respect To a Sequence of Modulus Functions
(Elsevier Science inc, 2004) Bilgin, T
The definition of lacunary strong A-convergence with respect to a modulus is extended to a definition of lacunary strong A-convergence with respect to a sequence of modulus functions. We study some connections between lacunary strong A-convergence with respect to a sequence modulus functions and lacunary A-statistical convergence, where A = (a(ik)) is an infinite matrix of complex numbers. (C) 2003 Elsevier Inc. All rights reserved.
Lacunary Strongly Δ-Convergent Sequences of Fuzzy Numbers
(Elsevier Science inc, 2004) Bilgin, T
In this paper we introduce and study lacunary strongly Delta-summable and lacunary Delta-statistically convergent of sequences of fuzzy numbers. Also the inclusion relations between the sets of lacunary strongly Delta-convergent and lacunary statistically Delta-convergent sequences of fuzzy numbers. (C) 2003 Elsevier Inc. All rights reserved.
Matrix Transformation on Certain Sequence Spaces
(Elsevier Science inc, 2003) Bilgin, T
The main purpose of this paper is to characterize the matrices in the classes (C(s,p), cs) and (C(s,p), bs), where cs is the space of convergent series and bs is the space of bounded series. (C) 2002 Elsevier Inc. All rights reserved.