17-45 general lebesgue integral inequalities of jensen whose derivatives in absolute value are h-convex and applications

HIGHLIGHTS

• who: ANNALES et al. from the (UNIVERSITY) have published the paper: 17-45 General Lebesgue integral inequalities of Jensen whose derivatives in absolute value are h-convex and applications, in the Journal: (JOURNAL)

SUMMARY

Let Φ: ⊂ R → R be a differentiable convex function on (m, M ) and f: Ω → so that Φ◦f, f, Φ0 ◦f, (Φ0 ◦ f )·f ∈ L (Ω, µ). The following result is known in the literature as the Grüss inequality (1.4) |T (f, g)| ≤ 1 (Γ - γ) (∆ - δ), 4 provided (1.5) -∞ and amp;lt; γ ≤ f (t) ≤ Γ and amp;lt; ∞, -∞ and amp;lt; δ ≤ g (t . . .

 



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