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Some seminormed difference sequence spaces defined by a Musielak-Orlicz function over n-normed spaces

Raj K., Sharma S. K.

Journal of Mathematics and Applications

2015

Vol. 38

115--131

In the present paper we introduced some seminormed difference sequence spaces combining lacunary sequences and Musielak-Orlicz function M = (Mk) over n-normed spaces and examine some topological properties and inclusion relations between resulting sequence spaces.

Some new generalized classes of difference sequences of fuzzy numbers defined by a sequence of Orlicz functions

Sharma S. K.

Journal of Mathematics and Applications

2013

Vol. 36

85--93

In the present paper we introduce some new generalized classes of difference sequence spaces of fuzzy numbers defined by a sequence of Orlicz functions. We also make an effort to study some topological properties and prove some inclusion relations between these spaces.

Some difference paranormed sequence spaces defined by Orlicz functions

Tripathy B. C., Dutta H.

Fasciculi Mathematici

2009

Nr 42

121-131

In this paper we introduce the difference paranormed sequence spaces ...[wzór] respectively. We study their different properties like completeness, solidity, monotonicity, symmetricity etc.We also obtain some relations between these spaces as well as prove some inclusion results.

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].

Generalized strongly almost summable difference sequences of order m defined by a sequence of moduli

Bektas C., Colak R.

Demonstratio Mathematica

2007

Vol. 40, nr 3

581-591

In this paper we introduce some new sequence spaces by using a sequence of moduli F = (fk), give some topological properties and inclusion relations related to these sequence spaces. We also give the beta-dual of [�c, F, p]infinity(delta m).