On the Fundamental Theorem of (p,q)-Calculus and Some (p,q)-Taylor Formulas

In this paper, the ( p ,  q )-derivative and the ( p ,  q )-integration are investigated. Two suitable polynomial bases for the ( p ,  q )-derivative are provided and various properties of these bases are given. As application, two ( p ,  q )-Taylor formulas for polynomials are given, the fundamenta...

Celý popis

Uloženo v:
Podrobná bibliografie
Vydáno v:Resultate der Mathematik Ročník 73; číslo 1
Hlavní autor: Njionou Sadjang, P.
Médium: Journal Article
Jazyk:angličtina
Vydáno: Cham Springer International Publishing 01.03.2018
Témata:
Mathematics
Mathematics and Statistics
30E10
fundamental theorem
30K05
Derivative
integration
30E05
33D60
Taylor formula
integration by part
ISSN:1422-6383, 1420-9012
On-line přístup:Získat plný text
Tagy: Přidat tag
Žádné tagy, Buďte první, kdo vytvoří štítek k tomuto záznamu!
Popis
Shrnutí:In this paper, the ( p ,  q )-derivative and the ( p ,  q )-integration are investigated. Two suitable polynomial bases for the ( p ,  q )-derivative are provided and various properties of these bases are given. As application, two ( p ,  q )-Taylor formulas for polynomials are given, the fundamental theorem of ( p ,  q )-calculus is included and the formula of ( p ,  q )-integration by part is proved.
ISSN:1422-6383
1420-9012
DOI:10.1007/s00025-018-0783-z