Results 91 to 100 of about 45,837 (216)

Weak Chebyshev spaces and best L1-approximation

Journal of Approximation Theory, 1983
AbstractIn the first part of this paper it is shown that a large class of weak Chebyshev subspaces of C¦a, b¦ can be considered as a class of generalized spline functions. This generalizes a result of Bartelt (J. Approx. Theory 14 (1975), 30–37). In the second part L1-uniqueness for a large subclass of generalized spline functions is proved.
openaire   +2 more sources

Normalized Bernstein polynomials in solving space-time fractional diffusion equation

Advances in Difference Equations, 2017
In this paper, we solve a time-space fractional diffusion equation. Our methods are based on normalized Bernstein polynomials. For the space domain, we use a set of normalized Bernstein polynomials and for the time domain, which is a semi-infinite domain,
A Baseri, E Babolian, S Abbasbandy
doaj   +1 more source

Mappings and accuracy for Chebyshev pseudo-spectral approximations [PDF]

The effect of mappings on the approximation, by Chebyshev collocation, of functions which exhibit localized regions of rapid variation is studied. A general strategy is introduced whereby mappings are adaptively constructed which map specified classes of
Bayliss, Alvin, Turkel, Eli
core   +1 more source

Unconditional Variance Estimation Under Complex Surveys

International Statistical Review, EarlyView.
Summary The unconditional framework treats the samples and the variables of interest as random variables. This is particularly suitable with analytic inference, when modelling survey data. We show that variance estimation does not involve finite population corrections and joint‐inclusion probabilities, even with large sampling fractions and under ...
Yves G. Berger
wiley   +1 more source

A Non‐Parametric Framework for Correlation Functions on Product Metric Spaces

International Statistical Review, EarlyView.
Summary We propose a non‐parametric framework for analysing data defined over products of metric spaces, a versatile class encountered in various fields. This framework accommodates non‐stationarity and seasonality and is applicable to both local and global domains, such as the Earth's surface, as well as domains evolving over linear time or time ...
Pier Giovanni Bissiri, Bernardo Nipoti, Emilio Porcu, Philip White   +3 more
wiley   +1 more source

Design of the broadcast ephemerides for the Lunar Communication and Navigation Services system

Progress in Earth and Planetary Science
The last few years have brought extensive growth of interest in the Earth’s natural satellite—the Moon. The lunar surface, especially the surroundings of its south pole, is supposed to become a getaway for space exploration including Mars in the first ...
Grzegorz Bury, Radosław Zajdel, Krzysztof Sośnica   +2 more
doaj   +1 more source

Fourier, Gegenbauer and Jacobi Expansions for a Power-Law Fundamental Solution of the Polyharmonic Equation and Polyspherical Addition Theorems

Symmetry, Integrability and Geometry: Methods and Applications, 2013
We develop complex Jacobi, Gegenbauer and Chebyshev polynomial expansions for the kernels associated with power-law fundamental solutions of the polyharmonic equation on d-dimensional Euclidean space.
Howard S. Cohl
doaj   +1 more source

Monetary Policy When Preferences Are Quasi‐Hyperbolic

Journal of Money, Credit and Banking, EarlyView.
Abstract We study discretionary monetary policy in an economy where economic agents have quasi‐hyperbolic discounting. We demonstrate that a benevolent central bank is able to keep inflation under control for a wide range of discount factors. If the central bank, however, does not adopt the household's time preferences and tries to discourage early ...
RICHARD DENNIS, OLEG KIRSANOV
wiley   +1 more source

A Chebyshev Spectral Method with Null Space Approach for Boundary-Value Problems of Euler-Bernoulli Beam

Shock and Vibration, 2018
We proposed a Chebyshev spectral method with a null space approach for investigating the boundary-value problem of a nonprismatic Euler-Bernoulli beam with generalized boundary or interface conditions.
C. P. Hsu, C. F. Hung, J. Y. Liao
doaj   +1 more source

Differential Nap‐To‐Nap Stability of Sleep Spindles, Slow Waves, and their Temporal Coupling: An Exploratory Study

Journal of Sleep Research, EarlyView.
ABSTRACT Slow waves and sleep spindles characterise non‐rapid eye movement (NREM) sleep and support cognitive and plasticity‐related functions. While their stability across nights is well established, less is known about their consistency across daytime naps.
Damiana Bergamo, Antonino Visalli, Angie Baldassarri, Nicola Cellini   +3 more
wiley   +1 more source