Milne-type inequalities for third differentiable and h-convex functions

This paper develops a novel Milne inequality for third-differentiable and h -convex functions using Riemann integrals. Furthermore, new Milne inequalities are proposed utilizing a summation parameter p ≥ 1 for s -convexity, convexity, and P -functions class. We examine cases when the third derivativ...

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Bibliographic Details
Published in:	Boundary value problems Vol. 2025; no. 1; pp. 4 - 15
Main Authors:	Benaissa, Bouharket, Budak, Hüseyin
Format:	Journal Article
Language:	English
Published:	Cham Springer International Publishing 07.01.2025 Hindawi Limited SpringerOpen
Subjects:	Analysis Approximations and Expansions Boundary value problems Convex analysis Convexity Difference and Functional Equations h-convex function Hölder’s inequality Inequalities Mathematics Mathematics and Statistics Milne’s inequality Ordinary Differential Equations Partial Differential Equations Riemann’s integral Milne’s inequality Hölder’s inequality 26A51 26D10 26A33 convex function Riemann’s integral 26D15
ISSN:	1687-2770, 1687-2762, 1687-2770
Online Access:	Get full text
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