Results 11 to 20 of about 1,963,727 (308)

Regularly ideal invariant convergence of double sequences [PDF]

open access: yesJournal of Inequalities and Applications, 2021
In this paper, we introduce the notions of regularly invariant convergence, regularly strongly invariant convergence, regularly p-strongly invariant convergence, regularly ( I σ , I 2 σ ) $(\mathcal{I}_{\sigma },\mathcal{I}^{\sigma }_{2})$ -convergence ...
Nimet Pancaroǧlu Akın
doaj   +4 more sources

Lacunary I-invariant convergence

open access: yesCumhuriyet Science Journal, 2020
In this study, firstly, we introduce the notion of lacunary invariant uniform density of any subset E of the set N (the set of all natural numbers). Then, as associated with this notion, we give the definition of lacunary I_σ-convergence for
Fatih Nuray, Uğur Ulusu
doaj   +4 more sources

Lacunary I_2-Invariant Convergence and Some Properties

open access: yesInternational Journal of Analysis and Applications, 2018
In this paper, the concept of lacunary invariant uniform density of any subset $A$ of the set $\mathbb{N}\times\mathbb{N}$ is defined. Associate with this, the concept of lacunary $\mathcal{I}_2$-invariant convergence for double sequences is given. Also,
Ugur Ulusu, Erdinc Dundar, Fatih Nuray
doaj   +9 more sources

Convergence and Consistency Analysis for A 3D Invariant-EKF SLAM [PDF]

open access: yesIEEE Robotics and Automation Letters, 2017
In this paper, we investigate the convergence and consistency properties of an Invariant-Extended Kalman Filter (RI-EKF) based Simultaneous Localization and Mapping (SLAM) algorithm. Basic convergence properties of this algorithm are proven. These proofs
Dissanayake, Gamini   +4 more
core   +4 more sources

Wijsman quasi-invariant convergence [PDF]

open access: yesCreative Mathematics and Informatics, 2019
In this study, we defined concepts of Wijsman quasi-invariant convergence, Wijsman quasi-strongly invariant convergence and Wijsman quasi-strongly q-invariant convergence. Also, we give the concept of Wijsman quasi-invariant statistically convergence. Then, we study relationships among these concepts.
Gülle, Esra, Ulusu, Uğur
openaire   +4 more sources

Quasi-invariant convergence for double sequence [PDF]

open access: yesJournal of Classical Analysis, 2020
Summary: In this paper we introduce the concept of quasi-invariant convergence and quasiinvariant statistical convergence of double sequence in a normed space and we shall present a characterization of a bounded sequence to be quasi-invariant convergent.
Dafadar, Alauddin, Ganguly, D. K.
openaire   +3 more sources

On the invariant mean and statistical convergence

open access: yesApplied Mathematics Letters, 2009
The authors introduce two kinds of summability methods, \(\sigma\)-statistical summability and statistical \(\sigma\)-summability, by using the concepts of invariant means, and statistical convergence. A sequence \((x_{k})\) is said to be \(\sigma\)-statistically convergent to \(L\) if for every \( \varepsilon> 0\) \[ \lim_{p\rightarrow\infty}\frac{1 ...
Mursaleen, M., Edely, Osama H.H.
openaire   +4 more sources

Quantum j-invariant in positive characteristic I: definition and convergence [PDF]

open access: yesArchiv der Mathematik, 2016
We introduce the quantum $j$-invariant in positive characteristic as a multi-valued, modular-invariant function of a local function field. In this paper, we concentrate on basic definitions and questions of convergence. Note: This version contains a correction to the published version of Theorem 3.
Demangos, L., Gendron, T. M.
openaire   +5 more sources

Accelerated affine-invariant convergence rates of the Frank–Wolfe algorithm with open-loop step-sizes [PDF]

open access: yesMathematical programming, 2023
Recent papers have shown that the Frank–Wolfe algorithm (FW) with open-loop step-sizes exhibits rates of convergence faster than the iconic O(t-1)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage ...
E. Wirth, Javier Peña, S. Pokutta
semanticscholar   +1 more source

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