Results 21 to 30 of about 52,376 (308)

Perturbation of Orthogonal Fourier Expansions

open access: yesJournal of Approximation Theory, 1998
In this paper, a generalized Jacobi measure on [-1, 1] is perturbed by exponentials of functionsbof bounded mean oscillation. If we consider the Fourier series in orthogonal polynomials associated to each modification, then certain estimates (uniform inn∈N andbbelonging to some neighbourhood of the origin) are obtained.
Guadalupe, J.J., Pérez, M.
openaire   +3 more sources

Fourier expansion in variational quantum algorithms

open access: yes, 2023
The Fourier expansion of the loss function in variational quantum algorithms (VQA) contains a wealth of information, yet is generally hard to access. We focus on the class of variational circuits, where constant gates are Clifford gates and parameterized
Kiktenko, Evgeniy O.   +2 more
core   +1 more source

Modified Fourier expansions: theory, construction and applications

open access: yes, 2010
Modified Fourier expansions present an alternative to more standard algorithms for the approximation of nonperiodic functions in bounded domains. This thesis addresses the theory of such expansions, their effective construction and computation, and ...

core   +1 more source

The small Schottky-Jung locus in positive characteristics different from two [PDF]

open access: yes, 2003
We prove that the locus of Jacobians is an irreducible component of the small Schottky locus in any characteristic different from $2$. The proof follows an idea of B.
Andreatta, Fabrizio, Fabrizio Andreatta
core   +1 more source

Prediction of volcanic fractures based on prestack azimuthal anisotropy: A case study of LFS area in southern Songliao Basin [PDF]

open access: yesYouqicang pingjia yu kaifa
Anisotropic parameter inversion based on pre-stack azimuth gather seismic data is one of the primary methods for fracture prediction, among which two algorithms, RüGER approximate equation and Fourier series expansion, are more widely used.
LI Ning,MIAO He,CAO Kaifang
doaj   +3 more sources

Financial time series forecasting methods [PDF]

open access: yesITM Web of Conferences
The paper presents the development of time series forecasting algorithms based on the Integrated Autoregressive Moving Average Model (ARIMA) and the Fourier Expansion model.
Zinenko Anna, Stupina Alena
doaj   +1 more source

Fourier Series for the Tangent Polynomials, Tangent–Bernoulli and Tangent–Genocchi Polynomials of Higher Order

open access: yesAxioms, 2022
In this paper, the Fourier series expansion of Tangent polynomials of higher order is derived using the Cauchy residue theorem. Moreover, some variations of higher-order Tangent polynomials are defined by mixing the concept of Tangent polynomials with ...
Cristina Bordaje Corcino   +1 more
doaj   +1 more source

On Fourier Re-Expansions

open access: yesJournal of Fourier Analysis and Applications, 2014
9 ...
openaire   +3 more sources

On Basic Fourier-Bessel Expansions [PDF]

open access: yesSymmetry, Integrability and Geometry: Methods and Applications, 2018
When dealing with Fourier expansions using the third Jackson (also known as Hahn-Exton) $q$-Bessel function, the corresponding positive zeros $j_{kν}$ and the "shifted" zeros, $qj_{kν}$, among others, play an essential role. Mixing classical analysis with $q$-analysis we were able to prove asymptotic relations between those zeros and the "shifted" ones,
openaire   +5 more sources

Fourier series expansion for nonlinear Hamiltonian oscillators [PDF]

open access: yes, 2010
The problem of nonlinear Hamiltonian oscillators is one of the classical questions in physics. When an analytic solution is not possible, one can resort to obtaining a numerical solution or using perturbation theory around the linear problem.
Daniel Campos   +7 more
core   +1 more source

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