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http://dx.doi.org/10.14317/jami.2014.331

ON SOME GENERALIZED I-CONVERGENT DOUBLE SEQUENCE SPACES DEFINED BY A MODULUS FUNCTION  

Khan, Vakeel A. (Department of Mathematics, Aligarh Muslim University)
Khan, Nazneen (Department of Mathematics, Aligarh Muslim University)
Publication Information
Journal of applied mathematics & informatics / v.32, no.3_4, 2014 , pp. 331-341 More about this Journal
Abstract
In this article we introduce the sequence spaces $_2c^I_0(f,p)$, $_2c^I(f,p)$ and $_2l^I_{\infty}(f,p)$ for a modulus function f, where $p=(p_k)$ is a sequence of positive reals and study some of the properties of these spaces.
Keywords
Ideal; filter; paranorm; modulus function; I-convergent double sequence spaces; Lipschitz function; I-convergence field;
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