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Conditions under which convergence of a sequence or its certain subsequences follows from deferred Cesàro summability
Let (un:n=1,2,...) be a sequence of real or complex numbers. We aim in this paper to determine necessary and/or sufficient conditions under which convergence of a sequence (un) or its certain subsequences follows from summability by deferred Ces?ro means. We also investigate the limiting behavior of deferred moving averages of …