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.