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Keywords:
lacunary sequence; invariant convergence; infinite matrix
lacunary sequence; invariant convergence; infinite matrix
Summary:
The definition of lacunary strongly convergence is extended to the definition of lacunary strong $(A_{\sigma }, p)$-convergence with respect to invariant mean when $A$ is an infinite matrix and $p = (p_i)$ is a strictly positive sequence. We study some properties and inclusion relations.
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