A new set of modified Legendre rational functions which are mutually orthogonal in L2(0, + ∞) is introduced. Various projection and interpolation results using the modified Legendre rational functions ...

SIAM Journal on Numerical Analysis, Vol. 47, No. 3 (2009), pp. 1619-1650 (32 pages) A rational approximation in a triangle is proposed and analyzed in this paper. The rational basis functions in the ...

A mathematical function is a formula that takes an input, x, applies a set of calculations to it, and produces an output called y. By calculating a function at a large number of set intervals, it is ...