Results 71 to 80 of about 71,271 (229)
Convexity-preserving Bernstein–Bézier quartic scheme
A C1 convex surface data interpolation scheme is presented to preserve the shape of scattered data arranged over a triangular grid. Bernstein–Bézier quartic function is used for interpolation.
Maria Hussain +2 more
doaj +1 more source
ON THE GENERAL SOLUTION OF A QUARTIC FUNCTIONAL EQUATION [PDF]
Using a classical result of M. Hosszú and applying elegant and elementary arguments the authors find the general solution of the functional equation: \[ f(x + 2y) + f(x-2y) + 6 f(x) = 4 (f (x+y) + f(x-y) + 6 f(y)), \] i.e., \( f(x) = A^4 (x)\) which is the diagonal of a 4-additive symmetric function from \(R^4\) into \(R\). By means of some results due
Chung, Jukang K., Sahoo, Prasanna K.
openaire +1 more source
Coherent Forecasting of Realized Volatility
ABSTRACT The QLIKE loss function is the stylized favorite of the literature on volatility forecasting when it comes to out‐of‐sample evaluation and the state of the art model for realized volatility (RV) forecasting is the HAR model, which minimizes the squared error loss for in‐sample estimation of the parameters.
Marius Puke, Karsten Schweikert
wiley +1 more source
Geometric free energy of toric AdS4/CFT3 models
We study the supersymmetric free energy of three dimensional Chern-Simons-matter theories holographically dual to AdS$_4$ times toric Sasaki-Einstein seven-manifolds. In the large $N$ limit, we argue that the square of the free energy can be written as a
Lee, Sangmin, Yokoyama, Daisuke
core +1 more source
In this paper, the improved modified extended Tanh function technique is used to find analytical solutions to the cubic-quartic Lakshmanan-Porsezian-Daniel model which describes the pulse propagation in optical fiber. Using the traveling wave theory, the
Hisham H. Hussein +2 more
doaj +1 more source
ADDITIVE-QUARTIC FUNCTIONAL EQUATION IN NON-ARCHIMEDEAN ORTHOGONALITY SPACES [PDF]
Summary: Using the direct method, we prove the Hyers-Ulam stability of the orthogonally additive-quartic functional equation \[ \begin{aligned} f (2x + y) + f (2x - y) &= 4f (x + y) + 4f (x - y) \\ &+ 10f (x) + 14f (- x) - 3 f (y) - 3 f (- y) \end{aligned}\tag{0.1} \] for all \(x, y\) with \(x \bot y\), in non-Archimedean Banach spaces.
Lee, Hyunju +4 more
openaire +2 more sources
Sensory‐driven optimization of multi‐millet cookie formulation using RSM. ABSTRACT The effect of the composition of multi‐millet flour on the sensory acceptability of gluten‐free cookies containing xanthan gum as a binding agent was investigated and optimized.
Akash Kumar +4 more
wiley +1 more source
Scrutinizing vacuum stability in IDM with Type-III inverse seesaw
We consider the extension of the Standard Model (SM) with an inert Higgs doublet that also contains two or three sets of SU(2) L triplet fermions with hypercharge zero and analyze the stability of electroweak vacuum for the scenarios.
Priyotosh Bandyopadhyay +2 more
doaj +1 more source
The Role of Price‐Volatility Cojumps in Volatility Forecasting
ABSTRACT This paper investigates whether simultaneous jumps in prices and volatility improve volatility forecasting. Using up‐to‐date high‐frequency S&P 500 and VIX data, we identify price‐volatility cojumps at the intraday granularity and construct upside, downside, and asymmetric measures.
Kefu Liao
wiley +1 more source
New Drain Spacing Formulas Using the Variational Iteration Method
ABSTRACT In this study, the drain spacing is computed using the variational iteration method (VIM) to the linearized Boussinesq equation. By applying at most two iterations of the VIM method under three different initial condition scenarios, three equations for drain spacing calculation were derived. These equations predict values of drain spacing that
George Kargas +2 more
wiley +1 more source

