On dual functionals of polynomials in B-form

AbstractWe consider the space of multivariate polynomials in B-form and give an explicit representation of its dual space. Using this space, the B-form of a monomial can be easily obtained. We also derive a simple algorithm to convert a polynomial from its Taylor expansion to its B-form. Each basis element of the dual space is bounded, and we give explicit upper bounds. These upper bounds can be used to improve some known estimates by giving explicit constants