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\(\lambda\)-statistical convergence of order \(\alpha\). (English) Zbl 1240.40016
Summary: We introduce the concept of \(\lambda\)-statistical convergence of order \(\alpha\). Also, some relations between the \(\lambda\)-statistical convergence of order \(\alpha\) and strong \( (V,\lambda)\)-summability of order \(\alpha\) are given.

MSC:
40A35 Ideal and statistical convergence
40A05 Convergence and divergence of series and sequences
40G05 Cesàro, Euler, Nörlund and Hausdorff methods
40G15 Summability methods using statistical convergence
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