Filomat, ISSN 0354-5180, 1/2017, Volume 31, Issue 4, pp. 1099 - 1122

This paper presents a survey of most of the known fundamental results involving the sequence spaces 𝓁(𝑝), 𝑐₀(𝑝), 𝑐(𝑝) and 𝓁 (𝑝), 𝑤₀(𝑝), 𝑤(𝑝) and 𝑤...

Series convergence | Mathematical sequences | Mathematical functions | Topology | Topological spaces | Maddox’s spaces | Paranormed sequence spaces | Almost convergence | MATRIX TRANSFORMATIONS | MATHEMATICS | MATHEMATICS, APPLIED | MADDOX | THEOREM | Maddox's spaces | almost convergence | OPERATORS

Series convergence | Mathematical sequences | Mathematical functions | Topology | Topological spaces | Maddox’s spaces | Paranormed sequence spaces | Almost convergence | MATRIX TRANSFORMATIONS | MATHEMATICS | MATHEMATICS, APPLIED | MADDOX | THEOREM | Maddox's spaces | almost convergence | OPERATORS

Journal Article

Proyecciones, ISSN 0716-0917, 2018, Volume 37, Issue 3, pp. 547 - 564

Journal Article

Information Sciences, ISSN 0020-0255, 2004, Volume 160, Issue 1, pp. 27 - 40

Maddox defined the sequence spaces ℓ (p), c(p) and c (p) in [Proc. Camb. Philos. Soc. 64 (1968) 335, Quart. J. Math. Oxford (2) 18 (1967) 345]. In the present...

α-, β- and γ-duals and basis of a sequence space | Paranormed sequence space | Matrix mappings | MATRIX TRANSFORMATIONS | COMPUTER SCIENCE, INFORMATION SYSTEMS | alpha-,beta- and gamma-duals and basis of a sequence space | INFINITE MATRICES | paranormed sequence space

α-, β- and γ-duals and basis of a sequence space | Paranormed sequence space | Matrix mappings | MATRIX TRANSFORMATIONS | COMPUTER SCIENCE, INFORMATION SYSTEMS | alpha-,beta- and gamma-duals and basis of a sequence space | INFINITE MATRICES | paranormed sequence space

Journal Article

MATHEMATICAL AND COMPUTER MODELLING, ISSN 0895-7177, 09/2011, Volume 54, Issue 5-6, pp. 1473 - 1480

In this work, we introduce some new generalized sequence spaces related to the spaces l(infinity)(p), c(p) and c(0)(p). Furthermore, we investigate some...

MATRIX TRANSFORMATIONS | MATHEMATICS, APPLIED | Weighted mean | alpha-, beta-, and gamma-duals | Matrix mapping | Paranormed sequence space | EULER | lambda-sequence spaces

MATRIX TRANSFORMATIONS | MATHEMATICS, APPLIED | Weighted mean | alpha-, beta-, and gamma-duals | Matrix mapping | Paranormed sequence space | EULER | lambda-sequence spaces

Journal Article

Computers and Mathematics with Applications, ISSN 0898-1221, 09/2012, Volume 64, Issue 6, pp. 1726 - 1739

In this study, we define new paranormed sequence spaces by combining a generalized weighted mean and a difference operator. Furthermore, we compute the -, -...

Matrix transformations | Generalized weighted mean matrix | Core of a sequence | Paranormed sequence spaces | MATHEMATICS, APPLIED | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | INFINITE MATRICES

Matrix transformations | Generalized weighted mean matrix | Core of a sequence | Paranormed sequence spaces | MATHEMATICS, APPLIED | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | INFINITE MATRICES

Journal Article

Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 07/2012, Volume 391, Issue 1, pp. 67 - 81

In the present paper, by using generalized weighted mean and difference matrix , we introduce the paranormed sequence space which consist of all sequences...

Weighted mean | Hausdorff measure of noncompactness | Matrix mappings | α-, β-, γ-duals | Compact operators | B-difference sequence spaces | Paranormed sequence spaces | MATRIX TRANSFORMATIONS | BOUNDED SEQUENCES | alpha-, beta-, gamma-duals | MATHEMATICS, APPLIED | NONCOMPACTNESS | MATHEMATICS | L(P) | INCLUDE | DOMAINS

Weighted mean | Hausdorff measure of noncompactness | Matrix mappings | α-, β-, γ-duals | Compact operators | B-difference sequence spaces | Paranormed sequence spaces | MATRIX TRANSFORMATIONS | BOUNDED SEQUENCES | alpha-, beta-, gamma-duals | MATHEMATICS, APPLIED | NONCOMPACTNESS | MATHEMATICS | L(P) | INCLUDE | DOMAINS

Journal Article

Journal of Inequalities and Applications, ISSN 1025-5834, 12/2014, Volume 2014, Issue 1, pp. 1 - 12

In the present paper we introduce double sequence space defined by a sequence of Orlicz functions over n-normed space. We examine some of its topological...

n -normed space | Analysis | Mathematics, general | Mathematics | Orlicz function | Applications of Mathematics | double sequence spaces | paranormed space | n-normed space | MATHEMATICS | MATHEMATICS, APPLIED | CONVERGENCE | Inclusions | Inequalities | Topology

n -normed space | Analysis | Mathematics, general | Mathematics | Orlicz function | Applications of Mathematics | double sequence spaces | paranormed space | n-normed space | MATHEMATICS | MATHEMATICS, APPLIED | CONVERGENCE | Inclusions | Inequalities | Topology

Journal Article

Thai Journal of Mathematics, ISSN 1686-0209, 12/2017, Volume 15, Issue 3, pp. 641 - 654

Journal Article

MISKOLC MATHEMATICAL NOTES, ISSN 1787-2405, 2015, Volume 16, Issue 2, pp. 907 - 923

In this study, we define new paranormed sequence spaces derived by the sequences of Fibonacci numbers. Furthermore, we compute the alpha-, beta- and gamma-...

MATHEMATICS | matrix transformations | the sequences of Fibonacci numbers | paranormed sequence spaces | INFINITE MATRICES

MATHEMATICS | matrix transformations | the sequences of Fibonacci numbers | paranormed sequence spaces | INFINITE MATRICES

Journal Article

Miskolc Mathematical Notes, ISSN 1787-2405, 2015, Volume 16, Issue 2, pp. 907 - 923

Journal Article

Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 2007, Volume 330, Issue 1, pp. 174 - 185

The sequence space was introduced and studied by Maddox [I.J. Maddox, Spaces of strongly summable sequences, Quart. J. Math. Oxford (2) 18 (1967) 345–355]. In...

AD property and matrix mappings | Weighted mean | f-, β- and γ-duals | Paranormed sequence space | MATRIX TRANSFORMATIONS | MATHEMATICS | MATHEMATICS, APPLIED | weighted mean | and gamma-duals | INFINITE MATRICES | paranormed sequence space | beta

AD property and matrix mappings | Weighted mean | f-, β- and γ-duals | Paranormed sequence space | MATRIX TRANSFORMATIONS | MATHEMATICS | MATHEMATICS, APPLIED | weighted mean | and gamma-duals | INFINITE MATRICES | paranormed sequence space | beta

Journal Article

Mathematical and Computer Modelling, ISSN 0895-7177, 2011, Volume 54, Issue 5, pp. 1473 - 1480

In this work, we introduce some new generalized sequence spaces related to the spaces and . Furthermore, we investigate some topological properties such as the...

[formula omitted]-, [formula omitted]-, and [formula omitted]-duals | Matrix mapping | Weighted mean | Paranormed sequence space | [formula omitted]-sequence spaces | λ-sequence spaces | α-, β-, and γ-duals

[formula omitted]-, [formula omitted]-, and [formula omitted]-duals | Matrix mapping | Weighted mean | Paranormed sequence space | [formula omitted]-sequence spaces | λ-sequence spaces | α-, β-, and γ-duals

Journal Article

Boletim da Sociedade Paranaense de Matematica, ISSN 0037-8712, 2015, Volume 33, Issue 2, pp. 31 - 57

In this paper we construct some difference new modular sequence spaces defined by a sequence of Orlicz functions over n-normed spaces. We also study several...

Paranormed space | BK-space | Modular sequence space | n-normed space | Difference sequence space | Orlicz function | Sequence space | difference sequence space | paranormed | sequence space | modular sequence space | paranormed space

Paranormed space | BK-space | Modular sequence space | n-normed space | Difference sequence space | Orlicz function | Sequence space | difference sequence space | paranormed | sequence space | modular sequence space | paranormed space

Journal Article

Iranian Journal of Science and Technology, Transaction A: Science, ISSN 1028-6276, 2014, Volume 38, Issue 2, pp. 105 - 109

In this paper we introduce entire sequence spaces defined by a sequence of modulus functions F = (f(k)). We study some topological properties of these spaces...

Monotone | Paranormed space | Entire sequences | Modulus function | Solid | solid | L(P) | MULTIDISCIPLINARY SCIENCES | entire sequences | MATRIX OPERATORS | paranormed space | monotone | Studies | Topological manifolds

Monotone | Paranormed space | Entire sequences | Modulus function | Solid | solid | L(P) | MULTIDISCIPLINARY SCIENCES | entire sequences | MATRIX OPERATORS | paranormed space | monotone | Studies | Topological manifolds

Journal Article

Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 2006, Volume 319, Issue 2, pp. 494 - 508

The sequence spaces , and were introduced and studied by Maddox [I.J. Maddox, Paranormed sequence spaces generated by infinite matrices, Proc. Cambridge...

AD property and matrix mappings | Weighted mean | f-, β- and γ-duals | Paranormed sequence space | MATRIX TRANSFORMATIONS | MATHEMATICS | MATHEMATICS, APPLIED | weighted mean | and gamma-duals | INFINITE MATRICES | paranormed sequence space | beta

AD property and matrix mappings | Weighted mean | f-, β- and γ-duals | Paranormed sequence space | MATRIX TRANSFORMATIONS | MATHEMATICS | MATHEMATICS, APPLIED | weighted mean | and gamma-duals | INFINITE MATRICES | paranormed sequence space | beta

Journal Article

Filomat, ISSN 0354-5180, 1/2010, Volume 24, Issue 4, pp. 35 - 52

In this paper, we define the new generalized Riesz B-difference sequence spaces , , and 𝑟 (𝑝, 𝐵) which consist of the sequences whose 𝑅 𝐵-transforms are...

Abstract spaces | Mathematical sequences | Paranormed Sequence Space a | β-duals | B-Riesz Sequence Space | MATRIX TRANSFORMATIONS | MATHEMATICS | MATHEMATICS, APPLIED | Paranormed Sequence Space alpha-, beta-duals

Abstract spaces | Mathematical sequences | Paranormed Sequence Space a | β-duals | B-Riesz Sequence Space | MATRIX TRANSFORMATIONS | MATHEMATICS | MATHEMATICS, APPLIED | Paranormed Sequence Space alpha-, beta-duals

Journal Article

Journal of Inequalities and Applications, ISSN 1025-5834, 12/2015, Volume 2015, Issue 1, pp. 1 - 19

The sequence spaces l ∞ ( B ˜ , p ) $l_{\infty}(\tilde{B},p)$ , c ( B ˜ , p ) $c(\tilde{B},p)$ , and c 0 ( B ˜ , p ) $c_{0}(\tilde{B},p)$ of non-absolute type...

Hausdorff measure of noncompactness | double sequential matrix | Analysis | sequence space | Mathematics, general | Mathematics | Applications of Mathematics | paranormed space | MATHEMATICS | MATHEMATICS, APPLIED | DOMAIN | BK SPACES | COMPACT-OPERATORS | GENERALIZED MEANS | TRANSFORMATIONS | Norms | Texts | Operators | Estimates | Inequalities

Hausdorff measure of noncompactness | double sequential matrix | Analysis | sequence space | Mathematics, general | Mathematics | Applications of Mathematics | paranormed space | MATHEMATICS | MATHEMATICS, APPLIED | DOMAIN | BK SPACES | COMPACT-OPERATORS | GENERALIZED MEANS | TRANSFORMATIONS | Norms | Texts | Operators | Estimates | Inequalities

Journal Article

Applied Mathematics and Computation, ISSN 0096-3003, 2010, Volume 215, Issue 12, pp. 4110 - 4118

In this paper we introduce a generalized vector-valued paranormed sequence space using modulus function , where is a bounded sequence of positive real numbers...

Paranormed space | Difference sequence space | Normal sequence space | Modulus function | MATHEMATICS, APPLIED

Paranormed space | Difference sequence space | Normal sequence space | Modulus function | MATHEMATICS, APPLIED

Journal Article

19.
Paranormed difference sequence spaces generated by infinite matrices over non-archimedean fields

Global Journal of Pure and Applied Mathematics, ISSN 0973-1768, 2016, Volume 12, Issue 1, pp. 434 - 435

Journal Article

Journal of the Indian Mathematical Society, ISSN 0019-5839, 01/2016, Volume 83, Issue 1-2, pp. 13 - 25

Journal Article

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