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Some geometric properties of generalized modular sequence space derived by the generalized de la Vallee-Poussin mean
Journal article   Open access  Peer reviewed

Some geometric properties of generalized modular sequence space derived by the generalized de la Vallee-Poussin mean

Abdul Latif, Chirasak Mongkolkeha and Wutiphol Sintunavarat
Journal of inequalities and applications, Vol.2014(1), pp.1-14
29/09/2014
DOI: https://doi.org/10.1186/1029-242X-2014-375

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
In this paper, we define a generalized modular sequence space by using the generalized de la Vallee-Poussin mean with a generalized Riesz transformation. Moreover, we investigate the property (beta) and the uniform Opial property which is equipped with the Luxemburg norm. Finally, we show that this space has the fixed point property.
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https://doi.org/10.1186/1029-242X-2014-375View
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