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

100%

Raj K. , Sharma S. K.

Fasciculi Mathematici

2012

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

88%

Tripathy B. C.

Demonstratio Mathematica

2003

tom 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.

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

75%

Bhardwaj V. , Bala I.

Demonstratio Mathematica

2008

tom 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].

Difference sequence spaces defined by Musielak-Orlicz function

63%

Sharma S. K. , Anuchaivong P. , Sharma R.

Journal of Mathematics and Applications

2021

tom 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.