Some Triple Integral Inequalities for Functions Defined on Three-Dimensional Bodies Via Gauss-Ostrogradsky Identity

Silvestru Sever Dragomir ()
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Silvestru Sever Dragomir: Victoria University

A chapter in Mathematical Analysis in Interdisciplinary Research, 2021, pp 235-260 from Springer

Abstract: Abstract In this paper, by the use of Gauss-Ostrogradsky identity, we establish some inequalities for functions of three variables defined on closed and bounded bodies of the Euclidean space ℝ 3 . $$\mathbb {R}^{3}.$$ Some examples for three-dimensional balls are also provided.

Keywords: Ostrowski inequality; Hermite-Hadamard inequality; Double integral inequalities; Gauss-Ostrogradsky identity; 26D15 (search for similar items in EconPapers)
Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:spr:spochp:978-3-030-84721-0_13

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DOI: 10.1007/978-3-030-84721-0_13

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