On statistical convergence and strong Cesàro convergence by moduli for double sequences

نویسندگان

چکیده

Abstract A remarkable result on summability states that the statistical convergence and strong Cesàro are closely connected. Given a modulus function f , we will establish double sequence is -strong convergent always -statistically convergent. The converse, in general, false even for bounded sequences. However, characterize analytically functions which converse of this remains true. results paper adapt to several variables obtained (León-Saavedra et al. J. Inequal. Appl. 12:298, 2019).

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ژورنال

عنوان ژورنال: Journal of Inequalities and Applications

سال: 2022

ISSN: ['1025-5834', '1029-242X']

DOI: https://doi.org/10.1186/s13660-022-02799-9