Results 171 to 180 of about 972,343 (359)

Solving change of basis from Bernstein to Chebyshev polynomials

Examples and Counterexamples
We provide two closed-form solutions to the change of basis from Bernstein polynomials to shifted Chebyshev polynomials of the fourth kind and show them to be equivalent by applying Zeilberger’s algorithm. The first solution uses orthogonality properties
D.A. Wolfram
doaj  

An Adomian decomposition method with some orthogonal polynomials to solve nonhomogeneous fractional differential equations (FDEs)

AIMS Mathematics
The present study introduced modifications to the standard Adomian decomposition method (ADM) by combining the Taylor series with orthogonal polynomials, such as Legendre polynomials and the first and second kinds of Chebyshev polynomials.
Mariam Al-Mazmumy , Maryam Ahmed Alyami, Mona Alsulami, Asrar Saleh Alsulami , Saleh S. Redhwan   +4 more
doaj   +1 more source

Analyzing genomic data using tensor-based orthogonal polynomials with application to synthetic RNAs. [PDF]

NAR Genom Bioinform, 2020
Nafees S, Rice SH, Wakeman CA.
europepmc   +1 more source

Determinants of orthogonal polynomials [PDF]

, 1962
Samuel Karlin, James McGregor
openalex   +1 more source

Murine Supraspinatus Tendons Demonstrate Aging‐Related Changes in Multiscale Mechanics, Structure, and Gene Expression

Journal of Orthopaedic Research, EarlyView.
ABSTRACT Rotator cuff disorders are common in the aging population, often leading to pain, disability, and reduced quality of life. Age‐associated changes can occur disproportionately in regions of high mechanical stress, such as the insertion site of the supraspinatus tendon, leading to increased injury rates and tendinopathies.
Michael S. DiStefano, Jeremy D. Eekhoff, Stephanie N. Weiss, Courtney A. Nuss, Rebecca L. Betts, Andrew F. Kuntz, Louis J. Soslowsky   +6 more
wiley   +1 more source

A method for the approximation of functions defined by formal series expansions in orthogonal polynomials [PDF]

, 1969
Jonas T. Holdeman
openalex   +2 more sources

On the maxima of certain hankel determinants and the zeros of the classical orthogonal polynomials

, 1959
I. J. Schoenberg
openalex   +1 more source

Orbital Angular Momentum Holography Using Neural Network and Camera in the Loop

Laser &Photonics Reviews, EarlyView.
Neural network and optimization‐based approaches are introduced for Orbital Angular Momentum (OAM) multiplexed holography, enabling high‐capacity, phase‐only image reconstruction. A Camera‐In‐The‐Loop (CITL) system learns a realistic propagation model to correct system imperfections.
Nima Asoudegi, Mo Mojahedi
wiley   +1 more source

An Algorithm for Summing Orthogonal Polynomial Series and their Derivatives with Applications to Curve-Fitting and Interpolation [PDF]

, 1965
Francis J. Smith
openalex   +1 more source

A Bochner type characterization theorem for exceptional orthogonal polynomials

Journal of Mathematical Analysis and Applications, 2019
M. García-Ferrero, D. Gómez‐Ullate, R. Milson   +2 more
semanticscholar   +1 more source