Results 11 to 20 of about 223,713 (274)

ROUGH CONVERGENCE IN NORMED LINEAR SPACES [PDF]

open access: yesNumerical Functional Analysis and Optimization, 2001
x * ∈ X is said to be an r-limit point of a sequence (xi ) in some normed linear space (X,∥ · ∥) if (r ≥ 0). The set of all r-limit points of (xi , denoted by LIM r x i , is bounded closed and convex. Further properties, in particular the relation between this rough convergence and other convergence notions, and the dependence of LIM r x i on the ...
openaire   +3 more sources

ROUGH CONTINUOUS CONVERGENCE OF SEQUENCES OF SETS [PDF]

open access: yesFacta Universitatis, Series: Mathematics and Informatics, 2021
In this paper, we define a new type of convergence of sequences of sets by using the continuous convergence (or α-convergence) of the sequence of distance functions. Then we proved in which case it is equivalent to rough Wijsman convergence by considering the different values of the roughness degrees.
Olmez, Oznur   +2 more
openaire   +4 more sources

SOME REMARKS ON ROUGH STATISTICAL \(\Lambda\)-CONVERGENCE OF ORDER \(\alpha\)

open access: yesUral Mathematical Journal, 2021
The main purpose of this work is to define Rough Statistical \(\Lambda\)-Convergence of order \(\alpha ...
Reena Antal   +2 more
doaj   +1 more source

Rough Statistical Convergence for Difference Sequences

open access: yesKragujevac Journal of Mathematics, 2022
Summary: As known, difference sequences have their own characteristics. In this paper, we study the concept of rough statistical convergence for difference sequences in a finite dimensional normed space. At the same time, we examine some properties of the set st-\(\lim_{\Delta x_i}^r=\left\{x_{\ast}\in X:\Delta x_i\overset{r}{\rightarrow}x_{\ast}\right\
Demir, Nihal, Gumus, Hafize
openaire   +2 more sources

Ultrasound wave propagation through rough interfaces: Iterative methods [PDF]

open access: yes, 1996
Two iterative methods for the calculation of acoustic transmission through a rough interface\ud between two media are compared. The methods employ a continuous version of the conjugate\ud gradient technique.
Berg, P.M. van den   +2 more
core   +9 more sources

On Gradual Borel Summability Method of Rough Convergence of Triple Sequences of Beta Stancu Operators

open access: yesDera Natung Government College Research Journal, 2023
We define the concept of rough limit set of a triple sequence space of beta Stancu operators of Borel summability of gradual real numbers and obtain the relation between the set of rough limit and the extreme limit points of a triple sequence space of ...
Arulmani İndumathi   +2 more
doaj   +1 more source

Rough I_((λ,μ) )-Statistical Convergence of Double Sequences in Gradual Normed Linear Spaces

open access: yesSüleyman Demirel Üniversitesi Fen-Edebiyat Fakültesi Fen Dergisi, 2022
The aim of this paper is to we examine the notion of gradually rough I_((λ,μ) )-statistical convergence of double sequences in gradual normed linear spaces (GNLS).
Chiranjib Choudhury, Ömer Kişi
doaj   +1 more source

Stable Crank-Nicolson Discretisation for Incompressible Miscible Displacement Problems of Low Regularity [PDF]

open access: yes, 2009
In this article we study the numerical approximation of incompressible miscible displacement problems with a linearised Crank-Nicolson time discretisation, combined with a mixed finite element and discontinuous Galerkin method.
Jensen, Max, Mueller, Ruediger
core   +4 more sources

Taylor expansions and Castell estimates for solutions of stochastic differential equations driven by rough paths [PDF]

open access: yes, 2020
We study the Taylor expansion for the solutions of differential equations driven by $p$-rough paths with $p>2$. We prove a general theorem concerning the convergence of the Taylor expansion on a nonempty interval provided that the vector fields are ...
Feng, Qi, Zhang, Xuejing
core   +3 more sources

On I-statistically rough convergence

open access: yesPublications de l'Institut Mathematique, 2019
We introduce rough I-statistical convergence as an extension of rough convergence. We define the set of rough I-statistical limit points of a sequence and analyze the results with proofs.
Savaş, Ekrem   +2 more
openaire   +2 more sources

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