New versions of the Hermite–Hadamard inequality for (ϕ−h)-integrals

In this paper, we prove some new versions of the Hermite–Hadamard inequality for ( ϕ − h ) -integrals. For this aim, we use the tangent and secant lines at the same special points. Moreover, we investigate the relations between the newly obtained results and earlier published papers. We also present...

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Veröffentlicht in:	Boundary value problems 2024-11, Vol.2024 (1), p.156-15, Article 156
Hauptverfasser:	Akbar, Saira Bano, Abbas, Mujahid, Nazeer, Waqas, Budak, Hüseyin
Format:	Artikel
Sprache:	eng
Schlagworte:	( ϕ − h ) $({\phi}-h)$ -derivative ( ϕ − h ) $({\phi}-h)$ -integral Analysis Approximations and Expansions Comment Convex function Difference and Functional Equations Hermite–Hadamard Inequality Integrals Mathematics Mathematics and Statistics Ordinary Differential Equations Partial Differential Equations
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Zusammenfassung:	In this paper, we prove some new versions of the Hermite–Hadamard inequality for ( ϕ − h ) -integrals. For this aim, we use the tangent and secant lines at the same special points. Moreover, we investigate the relations between the newly obtained results and earlier published papers. We also present some new results by special choices of ϕ and h .
ISSN:	1687-2770 1687-2762 1687-2770
DOI:	10.1186/s13661-024-01970-z