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

作　　者：Amelia Bucur Amelia Bucur(Department of Mathematics and Informatics, Faculty of Science, Lucian Blaga University of Sibiu, Sibiu, Romania)

机构地区：[1]Department of Mathematics and Informatics, Faculty of Science, Lucian Blaga University of Sibiu, Sibiu, Romania

出　　处：《Journal of Applied Mathematics and Physics》2023年第5期1304-1318,共15页应用数学与应用物理（英文）

摘　　要：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.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.

关 键 词：Upper and Lower Statistical Convergence Triple Sequences Unbounded Modulus Function Numerical Analysis 

分 类 号：O17[理学—数学]