Three problems arising in approximation theory are studied. These problems have already been studied by Arthur Sard. The main goal of this paper is to use geometrical compatibility theory to extend Sard's results and get characterizations of the sets of solutions.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-sm194-1-4, author = {G. Corach and J. I. Giribet and A. Maestripieri}, title = {Sard's approximation processes and oblique projections}, journal = {Studia Mathematica}, volume = {192}, year = {2009}, pages = {65-80}, zbl = {1179.47015}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm194-1-4} }
G. Corach; J. I. Giribet; A. Maestripieri. Sard's approximation processes and oblique projections. Studia Mathematica, Tome 192 (2009) pp. 65-80. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm194-1-4/