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STATISTICALLY PRE-CAUCHY SEQUENCES
Analysis, 1994Summary: A sequence \(x = \langle x_ k \rangle\) is statistically pre-Cauchy if \[ \lim_ n n^{-2} \biggl | \bigl \{ (j,k) : | x_ k - x_ j | \geq \varepsilon\;j,k \leq n \bigr \} \biggr | = 0 \] for every \(\varepsilon>0\). Statistically convergent sequences are statistically pre-Cauchy and any bounded statistically pre-Cauchy sequence with a nowhere ...
Connor, J., Fridy, J., Kline, J.
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Beyond the quasi-Cauchy sequences beyond the Cauchy sequences
AIP Conference Proceedings, 20163rd International Conference on Analysis and Applied Mathematics (ICAAM) -- SEP 07-10, 2016 -- Almaty ...
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Quaestiones Mathematicae. Journal of the South African Mathematical Society
In this article, we narrated the new notion of rough f-statistical convergence and rough f-statistical Cauchy sequences, successively becoming a more generalized version of rough statistical convergence and rough statistical Cauchy sequences ...
Tamim Aziz, Sanjoy Ghosal
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In this article, we narrated the new notion of rough f-statistical convergence and rough f-statistical Cauchy sequences, successively becoming a more generalized version of rough statistical convergence and rough statistical Cauchy sequences ...
Tamim Aziz, Sanjoy Ghosal
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NECESSARY AND SUFFICIENT CONDITIONS FOR FREQUENT CAUCHY SEQUENCES
Asian-European Journal of Mathematics, 2009In this paper, by means of frequency measure (also called asymptotic density or natural density) defined for integer subsets, we obtain some new explicit sufficient and necessary conditions for real sequences to be frequently convergent. These conditions involve frequent Cauchy sequences and statistical pre-Cauchy sequences as well as statistical ...
CHENG, Sui Sun +2 more
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Mathematics
In this paper, the Fibonacci sequence, renowned for its significance across various fields, its ability to illuminate numerical concepts, and its role in uncovering patterns in mathematics and nature, forms the foundation of this research.
Ibrahim S. Ibrahim +5 more
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In this paper, the Fibonacci sequence, renowned for its significance across various fields, its ability to illuminate numerical concepts, and its role in uncovering patterns in mathematics and nature, forms the foundation of this research.
Ibrahim S. Ibrahim +5 more
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Computers and Mathematics with Applications, 2018
In the paper a nonlinear inverse Cauchy problem of nonlinear elliptic type partial differential equation in an arbitrary doubly-connected plane domain is solved using a novel meshless numerical method.
Chein-Shan Liu, Fajie Wang
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In the paper a nonlinear inverse Cauchy problem of nonlinear elliptic type partial differential equation in an arbitrary doubly-connected plane domain is solved using a novel meshless numerical method.
Chein-Shan Liu, Fajie Wang
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Wave propagation from lateral Cauchy data using a boundary element method
Wave motion, 2019The wave equation with lateral Cauchy data is considered in three-dimensional annular domains. It is a linear inverse ill-posed problem, where data in the form of the function values and normal derivative is given on the outer boundary surface.
R. Chapko +3 more
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A method of fundamental solutions with time-discretisation for wave motion from lateral Cauchy data
Partial Differential Equations and Applications, 2022Ihor Borachok, R. Chapko, B. Johansson
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Cauchy Sequences and Function Rings
The American Mathematical Monthly, 1981(1981). Cauchy Sequences and Function Rings. The American Mathematical Monthly: Vol. 88, No. 9, pp. 700-701.
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İdeal cauchy dizileri = Ideal cauchy sequences / [PDF]
Kaynakça var.
Yaman Toyganözü, Zeynep Hande, 1982- author 129153 +2 more
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