Ostrowski Type Inequalities Involving Sublinear Integrals

George A. Anastassiou ()
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George A. Anastassiou: University of Memphis, Department of Mathematical Sciences

A chapter in Frontiers in Functional Equations and Analytic Inequalities, 2019, pp 325-355 from Springer

Abstract: Abstract The topic here is estimation of a function from its average. This is done by the Ostrowski type inequalities. Here we define a very general sublinear integral which generalizes the well-known Choquet and Shilkret integrals. Then we produce a series of Ostrowski type inequalities at all levels: univariate, multivariate, and fractional, acting to all possible cases. At the end we give a fractional Polya–Choquet inequality. Our upper bounds are simple, very tight, and accurate.

Date: 2019
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-030-28950-8_19

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DOI: 10.1007/978-3-030-28950-8_19

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