Seliutin, D. (2021) On Relation between Statistical Ideal and Ideal Generated by a Modulus Function. Submitted to Visnyk of V.N. Karazin Kharkiv National University, Ser. Mathematics, Applied Mathematics and Mechanics.
https://doi.org/10.48550/arXiv.2110.02292

has been cited by the following article:

• TITLE: About Upper and Lower Strong Fractional Weighted Mean Convergence by Moduli for Triple Sequences

  AUTHORS: Amelia Bucur

  KEYWORDS: Upper and Lower Statistical Convergence, Triple Sequences, Unbounded Modulus Function, Numerical Analysis

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.11 No.5, May 19, 2023

  ABSTRACT: In article, I present a study on upper and lower statistical convergence, and upper and lower strong fractional weighted mean convergence by moduli for triple sequences. One of the generalizations of the discrete operator Cesàro, was weighted mean operators, which are linear operators, too. Given a modulus function f, I established that a triple sequence that is f-upper or lower strong fractional weighted mean convergent, in some supplementary conditions, is also f-lower or upper statistically convergent. The results of this paper adapt the results obtained in [1] and [2] to upper and lower strong fractional weighted mean convergence and to triple sequence concept. Furthermore, new concepts can be applied to the approximation theory, topology, Fourier analysis, analysis interdisciplinary with applications electrical engineering, robotics and other domains.