E. Gonzalezvelasco et J. Grahameagle, DIRECTED DISTANCES WITH DERIVATIVES, Journal of mathematical analysis and applications, 184(2), 1994, pp. 243-255
Minimum distance approaches for the reconstruction of real functions f
rom a finite number of linear functional values are discussed. In cont
rast to previous works, the distance is allowed to depend on the deriv
atives of the functions in question. Conditions on such distances whic
h satisfy the directed orthogonality principle are given. (C) 1994 Aca
demic Press, Inc.