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

Journal Article

Archivum Mathematicum, ISSN 0044-8753, 2014, Volume 50, Issue 2, pp. 65 - 76

Journal Article

Miskolc Mathematical Notes, ISSN 1787-2405, 2015, Volume 16, Issue 1, pp. 283 - 304

Journal Article

4.
Full Text
Seminormed double sequence spaces of four-dimensional matrix and Musielak–Orlicz function

Journal of inequalities and applications, ISSN 1029-242X, 2018, Volume 2018, Issue 1, pp. 1 - 12

In this paper we study seminormed double sequence spaces of a four-dimensional matrix and Musielak...

Seminormed spaces | Double sequences | Analysis | 40A99 | Mathematics, general | Difference sequences | 40A05 | Mathematics | Orlicz function | 46A30 | Applications of Mathematics | n -normed spaces | MATHEMATICS | STATISTICAL CONVERGENCE | MATHEMATICS, APPLIED | IDEAL CONVERGENCE | n-normed spaces | Research

Seminormed spaces | Double sequences | Analysis | 40A99 | Mathematics, general | Difference sequences | 40A05 | Mathematics | Orlicz function | 46A30 | Applications of Mathematics | n -normed spaces | MATHEMATICS | STATISTICAL CONVERGENCE | MATHEMATICS, APPLIED | IDEAL CONVERGENCE | n-normed spaces | Research

Journal Article

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

The concept of lacunary statistical convergence was introduced in intuitionistic fuzzy n-normed spaces in Sen and Debnath (Math. Comput. Model. 54:2978-2985, 2011...

difference sequence | intuitionistic fuzzy n -normed space | Analysis | Mathematics, general | statistical convergence | Mathematics | Applications of Mathematics | lacunary sequence | Lacunary sequence | Difference sequence | Intuitionistic fuzzy n-normed space | Statistical convergence | MATHEMATICS | MATHEMATICS, APPLIED | GENERALIZED DIFFERENCE-SEQUENCES | intuitionistic fuzzy n-normed space

difference sequence | intuitionistic fuzzy n -normed space | Analysis | Mathematics, general | statistical convergence | Mathematics | Applications of Mathematics | lacunary sequence | Lacunary sequence | Difference sequence | Intuitionistic fuzzy n-normed space | Statistical convergence | MATHEMATICS | MATHEMATICS, APPLIED | GENERALIZED DIFFERENCE-SEQUENCES | intuitionistic fuzzy n-normed space

Journal Article

Journal of Inequalities and Applications, ISSN 1025-5834, 12/2014, Volume 2014, Issue 1, pp. 1 - 16

The aim of this paper is to introduce some generalized spaces of double sequences with the help of the Musielak-Orlicz function and four-dimensional bounded-regular (shortly, RH-regular...

difference sequence | Analysis | double sequence | Mathematics, general | Mathematics | Orlicz function | Applications of Mathematics | paranormed space | over n -normed spaces | bounded-regular matrices | over n-normed spaces | MATHEMATICS | MATHEMATICS, APPLIED | CONVERGENCE | SUMMABILITY | Sequences | Topology | Inclusions | Inequalities

difference sequence | Analysis | double sequence | Mathematics, general | Mathematics | Orlicz function | Applications of Mathematics | paranormed space | over n -normed spaces | bounded-regular matrices | over n-normed spaces | MATHEMATICS | MATHEMATICS, APPLIED | CONVERGENCE | SUMMABILITY | Sequences | Topology | Inclusions | Inequalities

Journal Article

Journal of inequalities and applications, ISSN 1029-242X, 2014, Volume 2014, Issue 1, pp. 216 - 12

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

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

Journal of interdisciplinary mathematics, ISSN 2169-012X, 2017, Volume 20, Issue 5, pp. 1241 - 1254

In this paper, we introduce the notion of strictly convex n-normed space as a generalization strictly convex normed space and give few characterizations for such space...

Primary 46B04 | Strictly convex n-normed spaces | n-isometry | Benz theorem | secondary 46B20

Primary 46B04 | Strictly convex n-normed spaces | n-isometry | Benz theorem | secondary 46B20

Journal Article

Afrika Matematika, ISSN 1012-9405, 12/2013, Volume 24, Issue 4, pp. 683 - 689

In this paper we study some double sequence spaces defined by Orlicz function over an n-normed space...

Solidity | 46E30 | n -Normed space | 40B05 | Mathematics, general | Mathematics Education | 40A05 | Mathematics | History of Mathematical Sciences | Orlicz function | Applications of Mathematics | Banach space | n-Normed space

Solidity | 46E30 | n -Normed space | 40B05 | Mathematics, general | Mathematics Education | 40A05 | Mathematics | History of Mathematical Sciences | Orlicz function | Applications of Mathematics | Banach space | n-Normed space

Journal Article

Kuwait Journal of Science, ISSN 2307-4108, 2015, Volume 42, Issue 3, pp. 86 - 104

In this paper we construct some generalized new difference statistically convergent sequence spaces defined by a Musielak-Orlicz function over n - normed spaces...

Musielak-Orlicz function | Generalized difference sequence space | Paranorm | N-normed space | Statistical convergence | n - normed space | MULTIDISCIPLINARY SCIENCES | ORLICZ FUNCTIONS | statistical convergence | DIFFERENCE SEQUENCE | paranorm

Musielak-Orlicz function | Generalized difference sequence space | Paranorm | N-normed space | Statistical convergence | n - normed space | MULTIDISCIPLINARY SCIENCES | ORLICZ FUNCTIONS | statistical convergence | DIFFERENCE SEQUENCE | paranorm

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...

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

Buletinul Academiei de Stiinte a Republicii Moldova. Matematica, ISSN 1024-7696, 2018, Volume 87, Issue 2, pp. 17 - 29

Journal Article

Journal of the Egyptian Mathematical Society, ISSN 1110-256X, 04/2015, Volume 23, Issue 1, pp. 90 - 94

.... Also the concept of lacunary refinement of a lacunary sequence is discussed in probabilistic n-normed space.

I-Convergent | I-Cauchy | Lacunary sequence | Probabilistic n-normed spaces | Ideal | Convergence (Mathematics) | Research | Vector spaces | Mathematical research

I-Convergent | I-Cauchy | Lacunary sequence | Probabilistic n-normed spaces | Ideal | Convergence (Mathematics) | Research | Vector spaces | Mathematical research

Journal Article

Journal of Inequalities and Applications, ISSN 1025-5834, 12/2013, Volume 2013, Issue 1, pp. 1 - 10

In this article, we study the notions of n-isometries in non-Archimedean n-normed spaces over linear ordered non-Archimedean fields and prove the Mazur-Ulam theorem in the spaces...

n -isometry | Analysis | non-Archimedean n -normed space | Mathematics, general | Mathematics | Applications of Mathematics | Mazur-Ulam theorem | N-isometry | Non-Archimedean n-normed space | MATHEMATICS | MATHEMATICS, APPLIED | non-Archimedean n-normed space | THEOREM | CONSERVATIVE DISTANCES | MAPPINGS | n-isometry | ALEKSANDROV PROBLEM | Theorems | Inequalities

n -isometry | Analysis | non-Archimedean n -normed space | Mathematics, general | Mathematics | Applications of Mathematics | Mazur-Ulam theorem | N-isometry | Non-Archimedean n-normed space | MATHEMATICS | MATHEMATICS, APPLIED | non-Archimedean n-normed space | THEOREM | CONSERVATIVE DISTANCES | MAPPINGS | n-isometry | ALEKSANDROV PROBLEM | Theorems | Inequalities

Journal Article

Mathematica Slovaca, ISSN 0139-9918, 8/2013, Volume 63, Issue 4, pp. 829 - 838

In this paper we introduce some certain new sequence spaces via ideal convergence, λ...

Algebra | λ -sequence | n -normed space | Primary 40A99, 40A05 | Mathematics, general | Mathematics | Orlicz function | λ-sequence | n-normed space

Algebra | λ -sequence | n -normed space | Primary 40A99, 40A05 | Mathematics, general | Mathematics | Orlicz function | λ-sequence | n-normed space

Journal Article

16.
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On the Stability of a k-Cubic Functional Equation in Intuitionistic Fuzzy n-Normed Spaces

Resultate der Mathematik, ISSN 1420-9012, 2015, Volume 70, Issue 1-2, pp. 233 - 248

...) in the intuitionistic fuzzy n-normed spaces.

26E50 | Primary 46S40 | Secondary 39B52 | Mathematics, general | Mathematics | 46S50 | k-cubic functional equation | Intuitionistic fuzzy n-normed space | stability | 39B82 | MATHEMATICS | MATHEMATICS, APPLIED | APPROXIMATION | BANACH-SPACES | equation | 2-NORMED SPACES | MAPPINGS | BOUNDED LINEAR-OPERATORS | MAZUR-ULAM PROBLEM | k-cubic functional

26E50 | Primary 46S40 | Secondary 39B52 | Mathematics, general | Mathematics | 46S50 | k-cubic functional equation | Intuitionistic fuzzy n-normed space | stability | 39B82 | MATHEMATICS | MATHEMATICS, APPLIED | APPROXIMATION | BANACH-SPACES | equation | 2-NORMED SPACES | MAPPINGS | BOUNDED LINEAR-OPERATORS | MAZUR-ULAM PROBLEM | k-cubic functional

Journal Article

Matematicki Vesnik, ISSN 0025-5165, 06/2012, Volume 65, Issue 4, pp. 488 - 493

Journal Article

Advances in Difference Equations, ISSN 1687-1839, 12/2013, Volume 2013, Issue 1, pp. 1 - 13

In this paper, we introduce some Cesàro-type difference sequences spaces defined over a real linear n-normed space and investigate the spaces for completeness under suitable n-norm in each case...

Ordinary Differential Equations | Functional Analysis | Cesàro summability | Analysis | Difference and Functional Equations | Mathematics, general | Mathematics | completeness | Köthe-Toeplitz dual | Partial Differential Equations | difference sequences | n -normed spaces | Difference sequences | n-normed spaces | Completeness | Kothe-Toeplitz dual | MATHEMATICS | MATHEMATICS, APPLIED | Cesaro summability | INNER PRODUCT-SPACES | Usage | Difference equations | Transformations (Mathematics) | Topology | Algebraic topology | Tests, problems and exercises

Ordinary Differential Equations | Functional Analysis | Cesàro summability | Analysis | Difference and Functional Equations | Mathematics, general | Mathematics | completeness | Köthe-Toeplitz dual | Partial Differential Equations | difference sequences | n -normed spaces | Difference sequences | n-normed spaces | Completeness | Kothe-Toeplitz dual | MATHEMATICS | MATHEMATICS, APPLIED | Cesaro summability | INNER PRODUCT-SPACES | Usage | Difference equations | Transformations (Mathematics) | Topology | Algebraic topology | Tests, problems and exercises

Journal Article

Iranian Journal of Fuzzy Systems, ISSN 1735-0654, 2008, Volume 5, Issue 3, pp. 57 - 69

The aim of this paper is to present the new and interesting notion of ascending family of alpha-n-norms corresponding to an intuitionistic fuzzy n-normed linear space...

Fuzzy n-normed linear space | Intuitionistic fuzzy n-norm | Best approximation sets | MATHEMATICS | MATHEMATICS, APPLIED

Fuzzy n-normed linear space | Intuitionistic fuzzy n-norm | Best approximation sets | MATHEMATICS | MATHEMATICS, APPLIED

Journal Article

Periodica Mathematica Hungarica, ISSN 0031-5303, 9/2013, Volume 67, Issue 1, pp. 63 - 69

We prove the (strong) equivalence between two known n-norms on the space ℓ p of p-summable sequences (of real numbers...

46B05 | p -summable sequence spaces | 46A45 | 46B99 | 46B20 | Mathematics, general | 46A99 | norm equivalence | Mathematics | n -normed spaces | n-normed spaces | p-summable sequence spaces | MATHEMATICS | MATHEMATICS, APPLIED

46B05 | p -summable sequence spaces | 46A45 | 46B99 | 46B20 | Mathematics, general | 46A99 | norm equivalence | Mathematics | n -normed spaces | n-normed spaces | p-summable sequence spaces | MATHEMATICS | MATHEMATICS, APPLIED

Journal Article

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