New refinements of the Hadamard inequality on coordinated convex function

In this paper, new refinements of the Hadamard inequality on coordinated convex function are established. Besides, a simple proof of the Hadamard type for linear functions is also found. Moreover, some examples of the new refinement inequalities are given to check their validity.

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Veröffentlicht in:	Journal of inequalities and applications 2019-07, Vol.2019 (1), p.1-9, Article 192
Hauptverfasser:	Almutairi, Ahoud, Kılıçman, Adem
Format:	Artikel
Sprache:	eng
Schlagworte:	Analysis Applications of Mathematics Convex function Generalized convexity Hermite–Hadamard inequality Linear functions Mathematics Mathematics and Statistics Recent Advances in General Inequalities on Pure & Applied Mathematics and Related Areas
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Beschreibung
Zusammenfassung:	In this paper, new refinements of the Hadamard inequality on coordinated convex function are established. Besides, a simple proof of the Hadamard type for linear functions is also found. Moreover, some examples of the new refinement inequalities are given to check their validity.
ISSN:	1029-242X 1025-5834 1029-242X
DOI:	10.1186/s13660-019-2143-2