Abstract :
In this paper, we prove that
E f,E lL R.. s lim E f,S ,mlL R.. , 1-p-`, s p p R. p rs p p R. mª`
E f,E lL R.. F lim E f,S ,mlL R.. , ps1, `, s p p R. p rs p p R.
mª`
E f,E XlL R.. G lim E f,S ,mlL R.. , s p p R. p rs p p R.
mª`
ps1, `; 0-sX-s ,
where Sp rs , m denotes the space of cardinal splines of degree m with nodes wn
q12 my1.hx4jgZ, and Es denotes the restriction to the real line R of entire
functions of exponential type s . From this connection, we solve two extremal
problems of some fundamental classes of functions defined of R.
