Wyniki wyszukiwania - BazTech

1

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

EN

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.

2

Some strongly almost summable sequence spaces

Sharma S. K., Esi A.

Journal of Mathematics and Applications

|

2017

|

Vol. 40

171--183

EN

In the present paper we introduce some strongly almost summable sequence spaces using ideal convergence and Musielak-Orlicz function M = (Mk) in n-normed spaces. We examine some topological properties of the resulting sequence spaces.

3

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

EN

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.

4

On some new sequence spaces and statistical convergence methods for double sequences

Belen C., Yildirim M.

Demonstratio Mathematica

|

2014

|

Vol. 47, nr 3

627--637

EN

In this paper, we introduce some new double sequence spaces with respect to an Orlicz function and define two new convergence methods related to the concepts of statistical convergence and lacunary statistical convergence for double sequences. We also present some inclusion theorems for our newly defined sequence spaces and statistical convergence methods.

5

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

EN

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.

6

On some new quasi almost ∆m-lacunary strongly P-convergent double sequences defined by Orlicz functions

Khan V. A., Tabassum S.

Journal of Mathematics and Applications

|

2011

|

Vol. 34

45--52

EN

The idea of quasi almost P-convergent sequences defined as [...] was introduced by V.A.Khan and Q.M.D.Lohani [Mathematicki Vesnik, (60), 95-100 (2008)]. In this paper we introduce a new concept for quasi almost ∆m-lacunary strongly P-convergent double sequences defined by Orlicz function and give inclusion relations.

7

Some generalized difference sequence spaces defined by a sequence of Orlicz functions

Başarir M., Altundag S.

Fasciculi Mathematici

|

2009

|

Nr 41

17-30

EN

In this paper, we define and examine some new difference sequence spaces combining with de la Vallee-Poussin mean and a sequence of Orlicz functions which completes the gap of the literature. We also introduce the concept of S -statistical convergent sequences and give some inclusion relations between these defined spaces with the space of -statistical convergent sequences.

8

Some difference paranormed sequence spaces defined by Orlicz functions

Tripathy B. C., Dutta H.

Fasciculi Mathematici

|

2009

|

Nr 42

121-131

EN

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.

9

On a new sequence space related to the Orlicz sequence space

Khan V. A.

Journal of Mathematics and Applications

|

2008

|

Vol. 30

61-69

EN

The space m(Φ) was introduced by sargent[14]and further studied by Malkowsky and Mursaleen [8] and Mursaleen [9]. In this paper we extend this space to m(M, Φ, p) and study some of its properties, inclusions relations and its relation with the Orlicz sequence space l(sub M).

10

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

EN

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].

11

Strongly (Vσ,θ, q] - summable sequences defined by Orlicz functions

Altin Y., Tripathy B. Ch., Isik M., Et M.

Fasciculi Mathematici

|

2005

|

Nr 36

15-26

EN

The purpose of this paper is to introduce the space of sequences those are strongly -summable with respect to an Orlicz function. We give some relations related to these sequence spaces. We also show that the spaces may be represented as a space.

12

Superposition operators on sequence spaces defined by (phi)-functions

Kolk E.

Demonstratio Mathematica

|

2004

|

Vol. 37, nr 1

159--175

13

Some sequence spaces defined by Orlicz functions

Bhardwaj V., Singh N.

Demonstratio Mathematica

|

2000

|

Vol. 33, nr 3

571-582

EN

The object of this paper is to introduce a new concept of lacunary strong convergence with respect to an Orlicz function and examine some properties of the resulting sequence spaces. We establish some elementary connections between lacunary strong convergence and lacunary strong convergence with respect to an Orlicz function which satisfies l2-condition. It is also shown that if a sequence is lacunary strongly convergent with respect to an Orlicz function then it is lacunary statistically convergent. In addition, lacunary strong convergence with respect to an Orlicz function is compared to other summability methods.

14

U-points and quasi-U-points in Orlicz function spaces

Wang T., Ji D., Li M.

Fasciculi Mathematici

|

1999

|

Nr 29

149-166

EN

In this paper, notions of U-points and quasi-U-points are defined. There is given a characterization of U-point and quasi-U-point in Orlicz function spaces equipped with the Luxemburg norm.

15

Weak-sequential compactness on non-locally convex Orlicz spaces

Nowak M.

Bulletin of the Polish Academy of Sciences. Mathematics

|

1998

|

Vol. 46, no 3

225-231

EN

Let [L^fi] be an Orlicz space defined by a finite valued Orlicz function [fi] (not necesarilly convex) over a [sigma]-finite atomless measure space. Let (L^fi[...] be the order continous dual of [L^fi]. It is proved that a subset Z of [L^fi] is conditionally sequentially sigma([L^fi],(L^fi])[...)-compact (i.e., every sequence in Z contains a sigma([L^[fi],(L^fi])[...])-Cauchy subsequence) if and only if Z is norm bounded in some Orlicz space [L^psi] where psi increases more rapidly than [...] (the convex minorant of fi).