On the quantum differentiation of smooth real-valued functions - Archive ouverte HAL Accéder directement au contenu
Pré-Publication, Document De Travail Année : 2017

On the quantum differentiation of smooth real-valued functions

Kolosov Petro

Résumé

Calculating the value of $C^{k\in\{1,\infty\}}$ class of smoothness real-valued function's derivative in point of $\mathbb{R}^+$ in radius of convergence of its Taylor polynomial (or series), applying an analog of Newton's binomial theorem and $q$-difference operator. $(P,q)$-power difference introduced in section 5. Additionally, by means of Newton's interpolation formula, the discrete analog of Taylor series, interpolation using $q$-difference and $p,q$-power difference is shown.
Fichier principal
Vignette du fichier
On the quantum differentiation of smooth real-valued functions.pdf (180.36 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)
Loading...

Dates et versions

hal-01516466 , version 1 (01-05-2017)

Licence

Paternité - Pas d'utilisation commerciale - Pas de modification

Identifiants

Citer

Kolosov Petro. On the quantum differentiation of smooth real-valued functions. 2017. ⟨hal-01516466⟩

Collections

TDS-MACS
406 Consultations
269 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More