On A Class of Real Quintic Moment Problem

Abdelaziz El Boukili (Department of Mathematics, Ibn Tofaïl University, Faculty of Sciences)
Amar Rhazi (Department of Mathematics, Ibn Tofaïl University, Faculty of Sciences)
Bouazza El Wahbi (Department of Mathematics, Faculty of Sciences, Ibn Tofail University)

Journal of the Indonesian Mathematical Society
VOLUME 29 NUMBER 1 (MARCH 2023)

The present paper is centered on a class of real quintic moment problem. We state some conditions for the existence of a representative measure and we provide it explicitly. We also state some cases where no representative measure exists. Some numerical examples are presented to illustrate construction of the representative measure as well as to highlight the conflicts behind the irresolvability.