Results 171 to 180 of about 3,785,525 (200)

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 ...
T. Aziz, Sanjoy Ghosal
semanticscholar   +1 more source

Convergence topologies and f-statistically Cauchy sequences

Journal of Nonlinear Functional Analysis
Modulus statistical convergence has already been transported to the general scope of uniform spaces. Here, the novel notion of f∗-statistically Cauchy sequence is introduced and studied in uniform spaces. Certain properties are verified, in particular, the relationship between f∗-statistically Cauchy sequences and f-statistically Cauchy sequences is ...
Ramazan Kama, García-Pacheco, Francisco Javier   +1 more
openaire   +2 more sources

Ideal statistical convergence and ideal statistical Cauchy sequences in two normed spaces over non archimedean fields

, 2020
K. Suja, S. Sangeetha
semanticscholar   +1 more source

On I-Statistically Order Pre Cauchy Sequences in Riesz Spaces

2020
In this paper. we continue to investigate in line of the recent work of Sencimen and Pehlivan, Das and Savas and consider the notion of -statistical order pre Cauchy condition related to a new type of order convergence, namely -statistical order convergence in Riesz spaces and establish some of its basic properties.
Das, P., Savaş, Ekrem
openaire   +1 more source

Locally Advanced Rectal Adenocarcinoma: Treatment Sequences, Intensification, and Rectal Organ Preservation

Ca-A Cancer Journal for Clinicians, 2021
Seth I Felder, Ibrahim Halil Sahin, Iman Imanirad   +2 more
exaly  

LACUNARY STATISTICALLY UPWARD AND DOWNWARD HALF QUASI-CAUCHY SEQUENCES

2016
A real valued function defined on a subset E of R, the set of real numbers, is lacunary statistically upward continuous if it preserves lacunary statistically upward half quasi-Cauchy sequences where a sequence (x(k)) of points in R is called lacunary statistically upward half quasi Cauchy if lim(r infinity) 1/h(r) vertical bar{k is an element of I-r :
MUCUK, Osman, Cakalli, Huseyin
openaire   +2 more sources

A New Approach to Statistically Quasi Cauchy Sequences

2018
A sequence $(\alpha _{k})$ of points in $\mathbb{R}$, the set of real numbers, is called $\rho$-statistically $p$ quasi Cauchy if \[ \lim_{n\rightarrow\infty}\frac{1}{\rho _{n}}|\{k\leq n: |\Delta_{p}\alpha _{k} |\geq{\varepsilon}\}|=0 \] for each $\varepsilon>0$, where $\rho=(\rho_{n})$ is a non-decreasing sequence of positive real numbers ...
openaire   +1 more source

λ-Quasi Cauchy Sequence of Fuzzy Numbers

Proyecciones, 2021
Bipan Hazarika
exaly  

Lacunary Statistical $p$-Quasi Cauchy Sequences

2018
In this paper, we introduce a concept of lacunary statistically $p$-quasi-Cauchyness of a real sequence in the sense that a sequence $(\alpha_{k})$ is lacunary statistically $p$-quasi-Cauchy if $\lim_{r\rightarrow\infty}\frac{1}{h_{r}}|\{k\in I_{r}: |\alpha_{k+p}-\alpha_{k}|\geq{\varepsilon}\}|=0$ for each $\varepsilon>0$.
openaire   +1 more source

Infinitesimals via Cauchy Sequences: Refining the Classical Equivalence

Open Mathematics, 2021
Emanuele Bottazzi, Mikhail Katz
exaly