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http://dx.doi.org/10.5666/KMJ.2018.58.1.91

On Deferred f-statistical Convergence  

Gupta, Sandeep (Department of Mathematics, Arya P. G. College)
Bhardwaj, Vinod K. (Department of Mathematics, Kurukshetra University)
Publication Information
Kyungpook Mathematical Journal / v.58, no.1, 2018 , pp. 91-103 More about this Journal
Abstract
In this paper, we generalize the concept of deferred density to that of deferred f-density, where f is an unbounded modulus and introduce a new non-matrix convergence method, namely deferred f-statistical convergence or $S^f_{p,q}$-convergence. Apart from studying the $K{\ddot{o}}the$-Toeplitz duals of $S^f_{p,q}$, the space of deferred f-statistically convergent sequences, a decomposition theorem is also established. We also introduce a notion of strongly deferred $Ces{\grave{a}}ro$ summable sequences defined by modulus f and investigate the relationship between deferred f-statistical convergence and strongly deferred $Ces{\grave{a}}ro$ summable sequences defined by f.
Keywords
statistical convergence; modulus function; strong $Ces{\grave{a}}ro$ summability; $K{\ddot{o}}the$-Toeplitz duals;
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