New Hadamard Type Inequalities for Modified h-Convex Functions

New Hadamard Type Inequalities for Modified h-Convex Functions

In this article, we demonstrated various Hermite–Hadamard and Fejér type inequalities for modified h-convex functions. We showed several inequalities for the products of two modified h-convex functions. New identities related to inequalities in various forms are also established for different values...

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Veröffentlicht in:Fractal and fractional 2023-03, Vol.7 (3), p.216
Hauptverfasser: Breaz, Daniel, Yildiz, Çetin, Cotîrlă, Luminiţa-Ioana, Rahman, Gauhar, Yergöz, Büşra
Format: Artikel
Sprache:eng
Schlagworte:
Convex analysis
Fejér inequality
Hermite–Hadamard inequality
Identities
Inequalities
Inequality
modified h-convex functions
Numerical analysis
super-additive functions
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Zusammenfassung:In this article, we demonstrated various Hermite–Hadamard and Fejér type inequalities for modified h-convex functions. We showed several inequalities for the products of two modified h-convex functions. New identities related to inequalities in various forms are also established for different values of the h(φt) function. We believe that the approach presented in this paper will inspire more research in this area.
ISSN:2504-3110
2504-3110
DOI:10.3390/fractalfract7030216