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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
##### Keywords:
sequences; statistical convergence; Cesàro summability
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