Results 101 to 110 of about 5,260,799 (222)
Trends in Computational and Applied Mathematics, 2019 In this work we consider the general functional-integral equation: \begin{equation*}y(t) = f\left(t, \int_{a}^{b} k(t,s)g(s,y(s))ds\right), \qquad t\in [a,b],\end{equation*}and give conditions that guarantee existence and uniqueness of solution in $L^p([
Suzete M Afonso +3 more
doaj +1 more source
Sleep Alters the Velocity of Physiological Brain Pulsations in Humans
Advanced Science, Volume 13, Issue 19, 2 April 2026.Sleep alters I/CSF oscillatory flow, driven by increased respiratory (29%) and vasomotor pulsation (21%) velocities, while cardiovascular pulsations decreased by (22%). Velocity is quantified using optical flow analysis of MREG data. Spectral power increases alongside these pulsations (spatial correlation, r = 0.35 and r = 0.39, respectively ...
Ahmed Elabasy +13 more
wiley +1 more source
AlgorithmsThis article proposes single-layer neural network algorithms for solving second-order ordinary differential equations, based on the principles of functional connection.
Roman Parovik
doaj +1 more source
Chebyshev approximation for multivariate functions
, 2015 In this paper, we derive optimality conditions (Chebyshev approximation) for multivariate functions. The theory of Chebyshev (uniform) approximation for univariate functions is very elegant. The optimality conditions are based on the notion of alternance (maximal deviation points with alternating deviation signs).
Sukhorukova, Nadezda +2 more
openaire +2 more sources
Product integration rules for Chebyshev weight functions with Chebyshev abscissae
Journal of Computational and Applied Mathematics, 2014 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire +1 more source
On some Chebyshev type inequalities for the complex integral
Revista Integración, 2019 Assume that f and g are continuous on γ, γ ⊂ C is a piecewise smooth path parametrized by z (t) , t ∈ [a, b] from z (a) = u to z (b) = w with w 6= u, and the complex Chebyshev functional is defined ...
Silvestru Sever Dragomir
doaj
Chebyshev–Jensen-Type Inequalities Involving χ-Products and Their Applications in Probability Theory
MathematicsBy means of the functional analysis theory, reorder method, mathematical induction and the dimension reduction method, the Chebyshev-Jensen-type inequalities involving the χ-products ⟨·⟩χ and [·]χ are established, and we proved that our main results are ...
Ru Liu, Jiajin Wen, Lingzhi Zhao
doaj +1 more source
Approximation of Analytic Functions by Universal Vallee-Poussin Sums on the Chebyshev Polynomials
Известия Иркутского государственного университета: Серия "Математика", 2018 As it is known, Chebyshev polynomials provide the best uniform approach of a function. They are a special case of Faber polynomials. A. I. Shvay (1973) proved that the Vallee-Poussin sums are the best approach apparatus in comparison with the partial ...
L.K. Dodunova, A.A. Ageikin
doaj +1 more source
Chebyshev wavelet-based method for solving various stochastic optimal control problems and its application in finance [PDF]
Iranian Journal of Numerical Analysis and OptimizationIn this paper, a computational method based on parameterizing state and control variables is presented for solving Stochastic Optimal Control (SOC) problems.
M. Yarahmadi, S. Yaghobipour
doaj +1 more source
Abstract and Applied Analysis, 2015 Fractional functional differential equations with delay (FDDEs) have recently played a significant role in modeling of many real areas of sciences such as physics, engineering, biology, medicine, and economics.
V. G. Pimenov, A. S. Hendy
doaj +1 more source