On generalization of Levinson’s inequality involving averages of 3-convex functions

By using an integral arithmetic mean, a generalization of Levinson’s inequality given in (Pečarić et al. in Convex Functions, Partial Orderings, and Statistical Applications. Mathematics in Science and Engineering, vol. 187, 1992 ) and results from (Vukelić in Appl. Anal. Discrete Math. 14:670–684,...

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Veröffentlicht in:	Journal of inequalities and applications 2023-09, Vol.2023 (1), p.117-10, Article 117
Hauptverfasser:	Aras-Gazić, G., Pečarić, J., Vukelić, A.
Format:	Artikel
Sprache:	eng
Schlagworte:	( n , m ) $(n,m)$ -convex function Analysis Applications of Mathematics Convex analysis Divided differences Inequality Levinson’s inequality Mathematical functions Mathematics Mathematics and Statistics n-convex function
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Beschreibung
Zusammenfassung:	By using an integral arithmetic mean, a generalization of Levinson’s inequality given in (Pečarić et al. in Convex Functions, Partial Orderings, and Statistical Applications. Mathematics in Science and Engineering, vol. 187, 1992 ) and results from (Vukelić in Appl. Anal. Discrete Math. 14:670–684, 2020 ), we give extension of Wulbert’s result from (Wulbert in Math. Comput. Model. 37:1383–1391, 2003 ). Also, we obtain inequalities with divided differences for the functions of higher order.
ISSN:	1029-242X 1025-5834 1029-242X
DOI:	10.1186/s13660-023-03028-7