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Difference sequence spaces defined by Musielak-Orlicz function

Sharma Sunil K., Anuchaivong Patchalai, Sharma Rohit

Journal of Mathematics and Applications

2021

Vol. 44

107--117

The purpose of this paper is to introduce sequence spaces [ wzór ]θ. We also examine some topological properties and prove some inclusion relations between these spaces.

Sequence spaces defined by a sequence of modulus function in n-normed spaces

Raj K., Sharma S. K.

Fasciculi Mathematici

2012

Nr 49

113--125

In the present paper we introduce the sequence spaces defined by a sequence of modulus function F = (fk) in n-normed spaces. We study some topological properties and prove some inclusion relations between these spaces.

On lacunary generalized difference sequence spaces defined by Orlicz functions in a seminormed space and delta m/q-lacunary statistical convergence

Bhardwaj V., Bala I.

Demonstratio Mathematica

2008

Vol. 41, nr 2

415-424

The main purpose of this paper is to introduce a new concept of [...]-lacunary statistical convergence. It is shown that if a sequence is [...]-lacunary strongly summable with index p with respect to an Orlicz function M then it is A [...]-lacunary statistically convergent and that the concepts of [...]-lacunary strong summability with index p with respect to an Orlicz function M and [...]-lacunary statistical convergence are equivalent on [...]-bounded sequences. The composite space no [...] using composite Orlicz function Mv has also been introduced. It is also shown that if q is total, then every [...] method is consistent with the W[...] method. Our results generalize and unify the corresponding earlier results of Freedman et al. [5], Tripathy et al. [17, 18, 19] and, Bhardwaj and Singh [1].

On a class of difference sequences related to the p-normed space lp

Tripathy B. Ch.

Demonstratio Mathematica

2003

Vol. 36, nr 4

867--872

In this article we introduce the difference sequence space m (Δ,φ,p), 0 < p < 1, which is related to the p-normed space lp(Δ) (i.e. bvp). We study its different properties like solidity, symmetricity, completeness etc. We prove some inclusion results and verify its relations with the other sequence spaces.