Title: Approximating Properties of Entire Functions of Exponential Type
Abstract: In this paper, we prove that -- Formula omitted -- where Sπ/σ, mdenotes the space of cardinal splines of degreemwith nodes {[ν+12(m−1)h]}j∈Z, and Eσdenotes the restriction to the real line R of entire functions of exponential type σ. From this connection, we solve two extremal problems of some fundamental classes of functions defined of R.