Skip to main content

Rota-Baxter operators on the polynomial algebras, integration and averaging operators

Guo, Li, Zheng, Shanghua, Rosenkranz, Markus (2015) Rota-Baxter operators on the polynomial algebras, integration and averaging operators. Pacific Journal of Mathematics, 275 (2). pp. 481-507. ISSN 0030-8730. (doi:10.2140/pjm.2015.275.481)

PDF (Preprint on arXiv) - Author's Accepted Manuscript
Download (263kB) Preview
[img]
Preview
Official URL
http://dx.doi.org/10.2140/pjm.2015.275.481

Abstract

The concept of a Rota–Baxter operator is an algebraic abstraction of integration. Following this classical connection, we study the relationship between Rota–Baxter operators and integrals in the case of the polynomial algebra k[x] k[x] . We consider two classes of Rota–Baxter operators, monomial ones and injective ones. For the first class, we apply averaging operators to determine monomial Rota–Baxter operators. For the second class, we make use of the double product on Rota–Baxter algebras.

Item Type: Article
DOI/Identification number: 10.2140/pjm.2015.275.481
Uncontrolled keywords: Rota-Baxter algebras; integro-differential algebras; integro-differential equations; commutative algebras; classification
Subjects: Q Science > QA Mathematics (inc Computing science) > QA150 Algebra
Q Science > QA Mathematics (inc Computing science) > QA299 Analysis, Calculus
Q Science > QA Mathematics (inc Computing science) > QA372 Ordinary differential equations
Divisions: Faculties > Sciences > School of Mathematics Statistics and Actuarial Science > Applied Mathematics
Depositing User: Markus Rosenkranz
Date Deposited: 10 Dec 2014 15:54 UTC
Last Modified: 29 May 2019 13:53 UTC
Resource URI: https://kar.kent.ac.uk/id/eprint/45956 (The current URI for this page, for reference purposes)
  • Depositors only (login required):

Downloads

Downloads per month over past year