\(\lambda\)-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 |