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STATISTICALLY PRE-CAUCHY SEQUENCES

Analysis, 1994
Summary: 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, 2016
3rd International Conference on Analysis and Applied Mathematics (ICAAM) -- SEP 07-10, 2016 -- Almaty ...
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f-rough Cauchy sequences

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
semanticscholar   +1 more source

NECESSARY AND SUFFICIENT CONDITIONS FOR FREQUENT CAUCHY SEQUENCES

Asian-European Journal of Mathematics, 2009
In 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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Weighted Statistical Convergence and Cluster Points: The Fibonacci Sequence-Based Approach Using Modulus Functions

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
semanticscholar   +1 more source

A meshless method for solving the nonlinear inverse Cauchy problem of elliptic type equation in a doubly-connected domain

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
semanticscholar   +1 more source

Wave propagation from lateral Cauchy data using a boundary element method

Wave motion, 2019
The 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
semanticscholar   +1 more source

A method of fundamental solutions with time-discretisation for wave motion from lateral Cauchy data

Partial Differential Equations and Applications, 2022
Ihor Borachok, R. Chapko, B. Johansson
semanticscholar   +1 more source

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]

open access: possible
Kaynakça var.
Yaman Toyganözü, Zeynep Hande, 1982- author 129153   +2 more
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