Browsing by Author "Altun, Yilmaz"

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Strongly (Vλ, A, P) -: Summable Sequence Spaces Defined by a Modulus
(Vilnius Gediminas Tech Univ, 2007) Bilgin, Tunay; Altun, Yilmaz
We introduce the strongly (V-lambda, A, p) - summable sequences and give the relation between the spaces of strongly (V-lambda, A, p) - summable sequences and strongly (V-lambda, A, p) - summable sequences with respect to a modulus function when A = (a(ik)) is an infinite matrix of complex numbers and p = (p(i)) is a sequence of positive real numbers. Also we give natural relationship between strongly (V-lambda, A, p) - convergence with respect to a modulus function and strongly S-lambda(A) - statistical convergence.
On a New Class of Sequences Related To the Lp Space Defined by Orlicz Function
(Mathematical Soc Rep China, 2009) Altun, Yilmaz; Bilgin, Tunay
In this paper we introduce new sequence space m(M, A, phi, p) defined by combining an Orlicz function and an infinite matrix. We study its different properties and obtain some inclusion relations involving the space m(M, A, phi, p).