Hermite-Hadamard Trapezoid and Mid-Point Divergences

Silvestru Sever Dragomir ()
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Silvestru Sever Dragomir: Victoria University

A chapter in Approximation and Computation in Science and Engineering, 2022, pp 227-251 from Springer

Abstract: Abstract In this paper, we introduce the concepts of Hermite-Hadamard trapezoid and mid-point divergences that are closely related to the Jensen divergence considered by Burbea and Rao in 1982. The joint convexity of these divergences and several inequalities involving these measures are established. Various examples concerning the Csiszár, Lin-Wong, and HH f-divergence measures are also given.

Keywords: Jensen divergence; f-divergence measures; HH f-divergence measures; χ2-divergence; 94A17; 26D15 (search for similar items in EconPapers)
Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:spr:spochp:978-3-030-84122-5_13

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DOI: 10.1007/978-3-030-84122-5_13

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