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On Rough Statistical Convergence in Neutrosophic Normed Spaces [PDF]

Neutrosophic Sets and Systems
In this paper, we have presented rough statistical convergence of sequence on neutrosophic normed spaces as an important convergence criterion. As neutrosophication can handle partially dependent components, partially independent components and even ...
Reena Antal, Meenakshi Chawla , Vijay Kumar   +2 more
doaj   +1 more source

Solving linear parabolic rough partial differential equations [PDF]

, 2018
We study linear rough partial differential equations in the setting of [Friz and Hairer, Springer, 2014, Chapter 12]. More precisely, we consider a linear parabolic partial differential equation driven by a deterministic rough path $\mathbf{W}$ of H ...
Bayer, Christian, Belomestny, Denis, Redmann, Martin, Riedel, Sebastian, Schoenmakers, John   +4 more
core   +3 more sources

A simple proof of distance bounds for Gaussian rough paths [PDF]

, 2012
We derive explicit distance bounds for Stratonovich iterated integrals along two Gaussian processes (also known as signatures of Gaussian rough paths) based on the regularity assumption of their covariance functions.
Riedel, Sebastian, Xu, Weijun
core   +2 more sources

On the pathwise approximation of stochastic differential equations [PDF]

, 2015
We consider one-step methods for integrating stochastic differential equations and prove pathwise convergence using ideas from rough path theory. In contrast to alternative theories of pathwise convergence, no knowledge is required of convergence in pth ...
Shardlow, Tony, Taylor, Phillip
core   +3 more sources

A Note on Rough Abel Convergence

Mathematical Sciences and Applications E-Notes, 2023
In this paper, we define a new type of Abel convergence by using the rough convergence of a sequence. We also obtained some results for this convergence.
Öznur ÖLMEZ, Ulas YAMANCİ
openaire   +2 more sources

A comprehensive mortise and tenon structure selection method based on Pugh's controlled convergence and rough Z-number MABAC method.

PLoS ONE, 2023
Mortise and tenon joints are widely used in the building and furniture industries because of their excellent mechanical and eco-friendly properties. In real-life cases, there are usually many available alternative structures for a joint area, it is a ...
Bin Shang, Zhe Chen, Qing Ma, Yuhang Tan
doaj   +1 more source

On Generalized Difference Rough Ideal Statistical Convergence in Neutrosophic Normed Spaces [PDF]

Neutrosophic Sets and Systems
This article’s main goal is to provide and investigate a novel statistical convergence generalisation for generalized difference sequences in Neutrosophic Normed Spaces (NNS) called rough ideal statistical convergence.
Manpreet Kaur, Meenakshi Chawla
doaj   +1 more source

Functional central limit theorems for rough volatility [PDF]

, 2019
We extend Donsker's approximation of Brownian motion to fractional Brownian motion with Hurst exponent $H \in (0,1)$ and to Volterra-like processes. Some of the most relevant consequences of our `rough Donsker (rDonsker) Theorem' are convergence results ...
Horvath, Blanka, Jacquier, Antoine, Muguruza, Aitor, Søjmark, Andreas   +3 more
core   +3 more sources

Ramazan Sunar, Rough convergence in A-metric spaces

European Journal of Mathematics and Applications, 2023
The purpose of this study is to define rough convergence of sequences in an A-metric space, discuss its fundamental properties, and examine the relationships between rough convergence and rough Cauchy sequence in A-metric spaces.
Mukaddes Arslan
doaj  

ROUGH ∆I-STATISTICAL CONVERGENCE

, 2022
In this study, we examine rough.I-statistical convergence for difference sequences as an extension of rough convergence. We investigate the set of rough Delta I-statistical limit points of a difference sequence and analyze the results with proofs.
Kişi, Ömer, Dundar, Erdinc
openaire   +3 more sources