Some Hermite-Hadamard type integral inequalities for convex functions defined on convex bodies in Rn\mathbb{R}^{n}

• Autorzy: Dragomir Silvestru Sever

Identyfikatory

DOI

https://doi.org/10.1515/jaa-2020-2005

• Języki publikacji: EN

Abstrakty

EN

In this paper, by the use of the divergence theorem, we establish some integral inequalities of Hermite-Hadamard type for convex functions of several variables defined on closed and bounded convex bodies in the Euclidean space Rn for any n ≥ 2.

Słowa kluczowe

EN

Hermite-Hadamard inequality; multiple integral inequalities; Green identity; Gauss-Ostrogradsky identity; divergence theorem

PL

nierówność Hermite-Hadamarda; nierówności całkowe; tożsamość Greena; tożsamość Gaussa-Ostrogradskiego; twierdzenie o dywergencji

• Wydawca: De Gruyter
• Czasopismo: Journal of Applied Analysis
• Rocznik: 2020
• Tom: Vol. 26, nr 1
• Strony: 67--77
• Opis fizyczny: Bibliogr. 19 poz.

Twórcy

autor

Dragomir Silvestru Sever

• Department of Mathematics, College of Engineering & Science, Victoria University, PO Box 14428, Melbourne City, MC 8001, Australia
• DST-NRF Centre of Excellence in the Mathematical and Statistical Sciences, School of Computer Science and Applied Mathematics, University of the Witwatersrand, Johannesburg, Private Bag 3, Wits 2050, South Africa

Bibliografia

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Uwagi

Opracowanie rekordu ze środków MNiSW, umowa Nr 461252 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2020).