MMN-1456
The explicit formulas for reproducing kernel of some Hilbert spaces
Abstract
This paper is devoted to finding explicit formulas for two kinds of reproducing kernels in some reproducing kernel spaces.
Usually for calculating the reproducing kernel of space $W_{2}^{m} [a,b]$, it must be solved a large system of ordinary differential equations with $4m$ equations in $4m$ unknowns. Hence, it is worthy to have explicit formulas to save time and computation efforts.
The advantage of using these formulas are clearly seen in the plotted graphs.
Vol. 16 (2015), No. 2, pp. 1041-1053
DOI: 10.18514/MMN.2015.1456