Figure 5

Graphical representation of \(\mathcal{O}_{j}\) and \(\Upsilon _{j}\) for \(\mathfrak{t} \in [0.2,0.85]\), \(j=1,2,3,4\), in Example 6.3 where \(\mathbb{G}_{1}(\mathfrak{t}) = 2^{\mathfrak{t}}\), \(\mathbb{G}_{2}(\mathfrak{t})= \mathfrak{t}\), \(\mathbb{G}_{3}(\mathfrak{t}) = \ln \mathfrak{t}\), \(\mathbb{G}_{4}( \mathfrak{t} )= \sqrt{\mathfrak{t}}\)