Properties of GA - h -Convex Functions in Connection to the Hermite–Hadamard–Fejér-Type Inequalities

Muhammad Amer Latif ()
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Muhammad Amer Latif: Department of Basic Sciences, Deanship of Preparatory Year, King Faisal University, Hofuf 31982, Al-Hasa, Saudi Arabia

Mathematics, 2023, vol. 11, issue 14, 1-16

Abstract: In this study, the Hermite–Hadamard–Fejér inequalities for G A - h -convex are proved, and the results for particular classes of functions are highlighted. In addition, several generalizations of the Hermite–Hadamard inequalities are presented. Some features of functions H and F that are naturally linked to the Hermite–Hadamard–Fejér-type inequalities for G A - h -convex have also been discussed. Finally, we obtain applications of the results related to the p -logarithmic mean and the mean of order p .

Keywords: convex function; GA -convex function; h -convex function; GA - h -convex function; Hermite–Hadamard–Fejér-type inequalities (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
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Citations: View citations in EconPapers (1)

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