Relative uniform convergence of quantum difference sequence of functions related to the $\ell_p$-space

Diksha Debbarma, Binod Chandra Tripathy

Abstract


The notion of relative uniform convergence of a sequence of functions was introduced and investigated by Moore, followed by E. W. Chittenden in the twentieth century. The concept attracted the researcher at the beginning, of the twenty-first century. Jackson F. H. initiated the concept of the notion of the quantum difference operator.  We introduced the quantum difference sequence space $m(\phi, ru, \nabla_p), p\geq 0$ of W.L.C. Sargent type. We examine its various properties such as solidity, convergence-free, completeness, etc. Also, some induction results have been established.

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References


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DOI: https://doi.org/10.52846/ami.v51i1.1792