Results 101 to 110 of about 44,437 (210)

Orthogonalizing q-Bernoulli polynomials

Demonstratio Mathematica
In this study, we utilize the Gram-Schmidt orthogonalization method to construct a new set of orthogonal polynomials called OBn(x,q){{\rm{OB}}}_{n}(x,q) from the q-Bernoulli polynomials.
Kuş Semra, Tuglu Naim
doaj   +1 more source

Equidistribution of points in the harmonic ensemble for the Wasserstein distance

Mathematika, Volume 72, Issue 2, April 2026.
Abstract We study the asymptotics of the expected Wasserstein distance between the empirical measure of a point process and the background volume form. The main determinantal point process studied is the harmonic ensemble, where we get the optimal rate of convergence for homogeneous manifolds of dimension d⩾3$d\geqslant 3$, and for two‐point ...
Pablo García Arias
wiley   +1 more source

On multipolar magnetic anomaly detection: multipolar signal subspaces, an analytical orthonormal basis, multipolar truncation and detection performance

EURASIP Journal on Advances in Signal Processing
In this paper, we consider the magnetic anomaly detection problem which aims to find ferromagnetic masses by estimating the weak perturbation they induce on local Earth’s magnetic field.
Clément Chenevas-Paule, Steeve Zozor, Laure-Line Rouve, Olivier J. J. Michel, Olivier Pinaud, Romain Kukla   +5 more
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Moments of L$L$‐functions via a relative trace formula

Proceedings of the London Mathematical Society, Volume 132, Issue 4, April 2026.
Abstract We prove an asymptotic formula for the second moment of the GL(n)×GL(n−1)$\mathrm{GL}(n)\times \mathrm{GL}(n-1)$ Rankin–Selberg central L$L$‐values L(1/2,Π⊗π)$L(1/2,\Pi \otimes \pi)$, where π$\pi$ is a fixed cuspidal representation of GL(n−1)$\mathrm{GL}(n-1)$ that is tempered and unramified at every place, while Π$\Pi$ varies over a family of
Subhajit Jana, Ramon Nunes
wiley   +1 more source

Graph potentials and topological quantum field theories

Proceedings of the London Mathematical Society, Volume 132, Issue 4, April 2026.
Abstract We introduce a new functional equation in birational geometry, whose solutions can be used to construct two‐dimensional topological quantum field theories (2d TQFTs), infinite‐dimensional in many interesting examples. The solutions of the equation give rise to a hierarchy of graph potentials, which, in the simplest setup, are Laurent ...
Pieter Belmans, Sergey Galkin, Swarnava Mukhopadhyay   +2 more
wiley   +1 more source

Equiconvergence theorems for orthonormal polynomials [PDF]

Bulletin of the American Mathematical Society, 1944
Albert, G. E., Miller, L. H.
openaire   +2 more sources

An analysis of 24-h ambulatory blood pressure monitoring data using orthonormal polynomials in the linear mixed model. [PDF]

Blood Press Monit, 2014
Edwards LJ, Simpson SL.
europepmc   +1 more source

Zernike Polynomiales· for Opticl Ssytew. With Borizantal Recta_nguJar Aperture

Ibn Al-Haitham Journal for Pure and Applied Sciences, 2017
For  small   aberrations,  the  Â·suehl'  ratio of  an . im i'ng syStem • depends on trne aberration v·ariance. Its· aberration fu.nct1on ·is e:qJanded in terms 9f-l nike polynomials. which are_ oirrh6goilal over a circular apeltitte.
A, ,1J. AL-.llamdani, 8 Y. RAI-As di
doaj  

Orthonormalization of a Subset of Bernstein Polynomial Basis Functions

The PUMP Journal of Undergraduate Research
An explicit formula for an orthornomalized subset Bernstein polynomial basis is derived in order to solve linear boundary value problems with Dirichlet conditions via the Galerkin method.
St. George, Thomas E., Wendland, Alec D.
openaire   +1 more source

A Cohen-Type Inequality for Jacobi-Sobolev Expansions

Journal of Inequalities and Applications, 2007
Let be the Jacobi measure supported on the interval [-1, 1]. Let us introduce the Sobolev-type inner product , where . In this paper we prove a Cohen-type inequality for the Fourier expansion in terms of the orthonormal polynomials associated with the ...
Fejzullahu Bujar Xh
doaj