Results 61 to 70 of about 1,144 (174)

Solution and stability of system of quartic functional equations

Malaya Journal of Matematik, 2015
In this paper, the authors introduced and investigated the general solution of system of quartic functional equations$$\begin{aligned}& f(x+y+z)+f(x+y-z)+f(x-y+z)+f(x-y-z) \\& =2[f(x+y)+f(x-y)+f(x+z)+f(x-z)+f(y+z)+f(y-z)] \\& -4[f(x)+f(y)+f(z)] \\& f(3 x+2 y+z)+f(3 x+2 y-z)+f(3 x-2 y+z)+f(3 x-2 y-z) \\& =72[f(x+y)+f(x-y)]+18[f(x+z ...
null K. Balamurugan, null M. Arunkumar, null P. Ravindiran   +2 more
openaire   +1 more source

TT4D: Tensor‐Train‐based 4D Time‐Dependent Volume Rendering

Computer Graphics Forum, EarlyView.
Abstract Visualizing large‐scale, time‐varying volumetric data using direct volume rendering remains a significant challenge in scientific visualization, particularly as data sizes and resolutions continue to increase. One promising direction for addressing this challenge is the use of tensor decompositions, which have proven to be a useful tool for ...
Clara Hartmann, Rafael Ballester‐Ripoll, Renato Pajarola   +2 more
wiley   +1 more source

Parallel Vectors Extraction using Bézier Clipping

Computer Graphics Forum, EarlyView.
Abstract In this paper, we propose a novel local feature extraction algorithm for the parallel vectors (PV) operator. Our method is based on Bézier clipping, which is a bracketing‐based root finding method that is commonly‐used in computer‐aided geometric design.
Nico Daßler, Tobias Günther
wiley   +1 more source

A Comparative Review of Specification Tests for Diffusion Models

International Statistical Review, EarlyView.
Summary Diffusion models play an essential role in modelling continuous‐time stochastic processes in the financial field. Therefore, several proposals have been developed in the last decades to test the specification of stochastic differential equations.
A. López‐Pérez, D. Diz‐Castro, M. Febrero‐Bande, W. González‐Manteiga   +3 more
wiley   +1 more source

Stability of a mixed type additive and quartic functional equation [PDF]

AIP Conference Proceedings, 2019
In this article, we propose a new mixed type functional equation derived from additive and quartic mappings of the form aq(2u + v) + aq(2u − v) + aq(u + 2v) + aq(u − 2v)=8[aq(u + v) + aq(u − v)] + aq(2u) − 5aq(u) + 7aq(− u) + 2aq(2v) − 5aq(−v) − 9aq(v) and validate its classical stabilities in Banach space.
B. V. Senthil Kumar, S. Sabarinathan, A. D. Chandrasekaran   +2 more
openaire   +1 more source

Approximation of Mixed Euler-Lagrange σ-Cubic-Quartic Functional Equation in Felbin's Type f-NLS

, 2021
In this research paper, the authors present a new mixed Euler-Lagrange σ-cubic-quartic functional equation. For this introduced mixed type functional equation, the authors obtain general solution and investigate the various stabilities related to the ...
Rassias, J.M., De La Sen, M., Pasupathi, N., Saadati, R.   +3 more
core  

On Direct Fuzzy Stability of General Quartic Functional Equation

Asian Research Journal of Mathematics, 2023
The goal of this paper is to investigate the Generalized Hyers - Ulam - Rassias (HUR) stability of generalquartic functional equation (GQFE)                                                             fq(kr1 + (k -1)r2) + fq(kr1 - (k -1)r2) = 2k4fq(r1) + 2(k -1)4fq(r2)                                   +6k2(k -1)2[fq(r1 + r2) + fq(r1 - r2)] - 12k2(k ...
openaire   +1 more source

A Note on Local Polynomial Regression for Time Series in Banach Spaces

Journal of Time Series Analysis, EarlyView.
ABSTRACT This work extends local polynomial regression to Banach space‐valued time series for estimating smoothly varying means and their derivatives in non‐stationary data. The asymptotic properties of both the standard and bias‐reduced Jackknife estimators are analyzed under mild moment conditions, establishing their convergence rates.
Florian Heinrichs
wiley   +1 more source

Sequential Outlier Detection in Nonstationary Time Series

Journal of Time Series Analysis, EarlyView.
ABSTRACT A novel method for sequential outlier detection in nonstationary time series is proposed. The method tests the null hypothesis of “no outlier” at each time point, addressing the multiple testing problem by bounding the error probability of successive tests, using extreme‐value theory. The asymptotic properties of the test statistic are studied
Florian Heinrichs, Patrick Bastian, Holger Dette   +2 more
wiley   +1 more source

A General System of Functional Equations Deriving From Additive, Quadratic, Cubic, and Quartic Mappings

Journal of Mathematics
In the current study, we introduce a system of functional equations (FEs) deriving from the mixed type additive–quadratic and the mixed-type cubic–quartic FEs which describes a multimixed additive–quadratic–cubic–quartic mapping.
Siriluk Donganont, Abasalt Bodaghi
doaj   +1 more source