On new general inequalities for s-convex functions and their applications

In this work, we established some new general integral inequalities of Hermite–Hadamard type for s -convex functions. To obtain these inequalities, we used the Hölder inequality, power-mean integral inequality, and some generalizations associated with these inequalities. Also we compared some inequa...

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Veröffentlicht in:Journal of inequalities and applications 2023-01, Vol.2023 (1), p.11-16, Article 11
Hauptverfasser: Yildiz, Çetin, Yergöz, Büşra, Yergöz, Abdulvahit
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Sprache:eng
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Zusammenfassung:In this work, we established some new general integral inequalities of Hermite–Hadamard type for s -convex functions. To obtain these inequalities, we used the Hölder inequality, power-mean integral inequality, and some generalizations associated with these inequalities. Also we compared some inequalities (e.g., Theorem  6 and Theorem  8 ). Finally, we gave some applications for special means.
ISSN:1029-242X
1025-5834
1029-242X
DOI:10.1186/s13660-023-02914-4