Polynomial interpolation on the unit sphere and some properties of its integral means

Manha van, Khiema van
2019 Filomat  
We study Hermite interpolation on the unit sphere. We give poised Hermite schemes on parallel circles with odd and even number of points on each circle. We also prove continuity and convergence properties of integral means of Hermite interpolation polynomials.
doi:10.2298/fil1915697m fatcat:cygm6obubfa4hhk43bnn23ylqe