A variation on strongly lacunary delta ward continuity in 2-normed spaces
A sequence $(x_{k})$ of points in a subset E of a 2-normed space $X$ is called strongly lacunary $\delta$-quasi-Cauchy, or $N_\theta$-$\delta$-quasi-Cauchy if $(\Delta x_k)$ is $N_\theta$-convergent to 0, that is $\lim_{r\rightarrow\infty}\frac{1}{h_r}\sum_{k\in I_r}||\Delta^2 x_k, z||=0$ for every...
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Format: | Article |
Language: | English |
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Sociedade Brasileira de Matemática
2019-10-01
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Series: | Boletim da Sociedade Paranaense de Matemática |
Online Access: | https://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/45496 |