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 |
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Format: | Artikel |
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. |
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ISSN: | 1029-242X 1025-5834 1029-242X |
DOI: | 10.1186/s13660-023-02914-4 |