SIAM Journal on Numerical Analysis, Vol. 37, No. 3 (Feb. - Mar., 2000), pp. 772-798 (27 pages) A Newton-type approach is used to deal with bivariate polynomial Hermite interpolation problems when the ...
Abstract: In this talk we study the Hermite interpolation and approximation problem. It aims at producing a function together with its derivatives, which interpolate or approximate given discrete ...
We study mean-value interpolation of Hermite type by a polynomial of degree m in z−1 and n in z. We show that the interpolation problem corresponding to the integrals over the segments of the form ...
Polyanalytic function theory extends the classical theory of holomorphic functions by encompassing functions that satisfy higher‐order generalisations of the Cauchy–Riemann equations. This broader ...