Abstract
Some inequalities related to Jensen and Ostrowski inequalities for general Lebesgue integral are obtained. Applications for f-divergence measure are provided as well.
Highlights
Let (Ω, A, μ) be a measurable space consisting of a set Ω, a σ-algebra A of subsets of Ω and a countably additive and positive measure μ on A with values in R ∪ {∞}
Motivated by the above results, in this paper we investigate the magnitude of the quantity
We remark that the quantity from Corollary 4 δμ (g, x) := |g − x| dμ cannot be computed in general
Summary
Jensen and Ostrowski type inequalities for general Lebesgue integral with applications Abstract. Some inequalities related to Jensen and Ostrowski inequalities for general Lebesgue integral are obtained. Applications for f -divergence measure are provided as well
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