Results 61 to 70 of about 829 (116)

On some constants in simultaneous approximation

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1995
Pointwise estimates for the error which is feasible in simultaneous approximation of a function and its derivatives by an algebraic polynomial were originally pursued from theoretical motivations, which did not immediately require the estimation of the ...
K. Balázs, T. Kilgore
doaj   +1 more source

New Frequency-Dependent Trigonometric Interpolation Functions for the Dynamic Finite Element Analysis of Thin Rectangular Plates

open access: yesShock and Vibration, 2018
The Dynamic Finite Element (DFE) formulation is a superconvergent, semianalytical method used to perform vibration analysis of structural components during the early stages of design. It was presented as an alternative to analytical and numerical methods
Supun Jayasinghe, Seyed M. Hashemi
doaj   +1 more source

On the arclength of trigonometric interpolants

open access: yesJournal of Numerical Analysis and Approximation Theory, 2001
As pointed out recently by Strichartz [5], the arclength of the graph \(\Gamma(S_N(f))\) of the partial sums \(S_N(f)\) of the Fourier series of a jump function \(f\) grows with the order of \(\log N\).
Jürgen Prestin, Ewald Quak
doaj   +2 more sources

Utilizing Trigonometric Bézier Curves for Reconstructing Arabic Calligraphy: Interpolating Quasi-Quartic and Quasi-Quintic Curves

open access: yesJournal of Computing Research and Innovation
As technology continues to advance, Computer Aided Geometric Design (CAGD) is gaining popularity as a mathematical method for generating curves and surfaces.
Noor Khairiah Razali   +1 more
doaj   +1 more source

On the properties for families of function classes over harmonic intervals and their embedding relation with Besov spaces

open access: yesҚарағанды университетінің хабаршысы. Математика сериясы
The article is dedicated to the issues of studying the approximation of functions by trigonometric polynomials with a spectrum from special sets. In this paper, these special sets are harmonic intervals.
G.A. Yessenbayeva, L.A. Serikova
doaj   +1 more source

On an Exact Convergence of Quasi-Periodic Interpolations for the Polyharmonic–Neumann Eigenfunctions

open access: yesAlgorithms
Fourier expansions employing polyharmonic–Neumann eigenfunctions have demonstrated improved convergence over those using the classical trigonometric system, due to the rapid decay of their Fourier coefficients.
Arnak Poghosyan   +2 more
doaj   +1 more source

The deformed Inozemtsev spin chain

open access: yesSciPost Physics
The Inozemtsev chain is an exactly solvable interpolation between the short-range Heisenberg and long-range Haldane–Shastry (HS) chains. In order to unlock its potential to study spin interactions with tunable interaction range using the powerful tools ...
Rob Klabbers, Jules Lamers
doaj   +1 more source

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