Abstract:
On the class of functions analytical and bounded in a half-plane with bounded derivative of order n⩾0, we solve problems of optimal recovery of values of a function and its derivatives of order m⩾0, using the restriction of the spectral function. We obtain appropriate exact inequalities for functions analytical in a half-plane.
Citation:
R. R. Akopian, “Optimal recovery of functions analytical in a half-plane”, Trudy Inst. Mat. i Mekh. UrO RAN, 13, no. 2, 2007, 3–12; Proc. Steklov Inst. Math. (Suppl.), 259, suppl. 2 (2007), S1–S11