The question of establishing measure theory for statistical convergence has been moving
closer to center stage, since a kind of reasonable theory is not only fundamental for unifying …

We introduce some vector‐valued sequence spaces defined by a Musielak‐Orlicz function
and the concepts of lacunary convergence and strong (A)‐convergence, where A=(aik) is an …

In the present paper we introduce some vector-valued multiplier difference sequence
spaces defined by a Musielak-Orlicz function, concepts of lacunary convergence and strong …

In the present paper, we introduce new lacunary strong convergent vector-valued sequence
spaces defined by fractional difference operator and Musielak-Orlicz function. We make an …

In this paper, the definitions of lacunary strong A− convergence of order α with respect to a
modulus and lacunary A− statistical convergence of order α were given by adding α to the …

Some multiplier lacunary sequence spaces defined by a sequence of modulus functions Page
1 Acta Univ. Sapientiae, Mathematica, 4, 2 (2012) 117–131 Some multiplier lacunary sequence …

The purpose of this paper is to define and study the spaces Nθ (A, F, u,∆ m) and N0 θ (A, F,
u,∆ m) of lacunary strong (A, u,∆ m)-convergent sequences with respect to a sequence of …

The propose of this paper is to define and study the N< sub> θ(A, F, u, Δ) and N< sub> θ<
sup> 0(A, F, u, Δ) of lacunary strong (A, u, Δ)--convergent sequences with respect to a …

The definition of lacunary strong A-convergence to a modulus is extended to a definition of
lacunary strong A-convergence with respect to a sequence of moduli. We study some …

In the paper [B. de Malafosse and V. Rakočević, Linear Algebra Appl. 420, no. 2-3,(2007),
377--387], authors defined the concept of (λ, A)-statistical convergence. In this paper, the …