<abstract xmlns="http://www.w3.org/1999/xhtml"><p> In the present paper we define some classes of double lacunary sequence spaces over n-normed spaces by means of a Musielak- Orlicz function. We study some relevant algebraic and topological properties. Further some inclusion relation among the classes are also examined.</p></abstract>

In the present paper we define some classes of double lacunary sequence spaces over n-normed spaces by means of a Musielak- Orlicz function. We study some relevant algebraic and topological properties. Further some inclusion relation among the classes are also examined.

Applications of double lacunary sequences to n-norm

School of Mathematics Shri Mata Vaishno Devi University Katra-182320, J&K, India

Acta Universitatis Sapientiae, Mathematica

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

{"article-title":"Applications of double lacunary sequences to n-norm"}

In the present paper we define some classes of double lacunary sequence spaces over n-normed spaces by means of a Musielak- Orlicz function. We study some...

Applications of double lacunary sequences to n-norm

Published Online: Oct 29, 2015

Page range: 67 - 88

Received: Apr 04, 2014

DOI: https://doi.org/10.1515/ausm-2015-0005

Keywords
P-convergent, lacunary sequence, Orlicz function, sequence spaces, paranorm space, n-normed space

© 2015

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Applications of double lacunary sequences to n-norm

Published Online: Oct 29, 2015

Page range: 67 - 88

Received: Apr 04, 2014

DOI: https://doi.org/10.1515/ausm-2015-0005

KeywordsP-convergent, lacunary sequence, Orlicz function, sequence spaces, paranorm space, n-normed space

© 2015

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Keywords
P-convergent, lacunary sequence, Orlicz function, sequence spaces, paranorm space, n-normed space