2 papers
math.CA2026
Stieltjes polynomial interpolation
Víctor Cora, Fernando Adrián Fernández Tojo
We show Lagrange and Hermite interpolation are possible using Stieltjes polynomials, linear combinations of iterated Stieltjes integrals of a constant function. We introduce divide…
math.CA2025
Stieltjes analytic functions and higher order linear differential equations
VÃctor Cora, F. Javier Fernández, F. Adrián F. Tojo
In this work we develop a theory of Stieltjes-analytic functions. We first define the Stieltjes monomials and polynomials and we study them exhaustively. Then, we introduce the Sti…