Journal of Applied Mathematics

Research Article

Semidefinite Optimization Providing Guaranteed Bounds on Linear Functionals of Solutions of Linear Integral Equations with Smooth Kernels

Table 4

Upper and lower bounds for Example 3 for .
UN-Ob LLFoS ULFoS ELFoS Error
0.666762 0.666762 0.666667 0.000095
0.291711 0.291711 0.291667 0.000044
0.183362 0.183362 0.183333 0.000029
0.133354 0.133354 0.133333 0.000021
0.104778 0.104778 0.104762 0.000016
0.086323 0.086323 0.086310 0.000013
0.073424 0.073424 0.073413 0.000009
0.0638985 0.063985 0.063889 0.000014
0.0565740 0.0566574 0.056566 0.000008
0.050765 0.050765 0.050758 0.000007
0.046044 0.046044 0.046037 0.000003
0.023907 0.023907 0.023904 0.000003
0.016162 0.016162 0.016159 0.000003
0.012210 0.012210 0.012209 0.000001