Double sequence spaces extend the classical notion of sequence spaces to encompass two-indexed structures, thereby providing a robust framework for the analysis of functions and operators in ...
Given a decreasing sequence {aⁿ} of nonnegative terms, we prove that there exist subsequences {nk } of {n} such that ∑k=1∞nk+1−nkank and ∑n=1∞an have the same convergence. In particular, ∑n=1∞an ...
This is a preview. Log in through your library . Abstract C. H. Gibbons, M. R. S. Kulenovic and G. Ladas [1] have posed the following problem: Is there a solution of the difference equation: ${x_{n + ...
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