Defines B-uniform integrability and shows its relationship to strong and statistical convergence.
In this paper, introducing the concept of B?uniform integrability of sequences, we prove that a sequence is B?strongly convergent if and only if it is B?statistically convergent and B?uniformly integrable where B = (Bj)=(bnk(j))is a sequence of nonnegative regular summability matrices. We also give a criterion for B?statistical convergence.
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Bayram Şahin (2025) studied this question.
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