Hermite-Hadamard-Fejér Inequality Related to Generalized Convex Functions via Fractional Integrals

Hermite-Hadamard-Fejér Inequality Related to Generalized Convex Functions via Fractional Integrals

This paper deals with Hermite-Hadamard-Fejér inequality for (η1,η2)-convex functions via fractional integrals. Some mid-point and trapezoid type inequalities related to Hermite-Hadamard inequality when the absolute value of derivative of considered function is (η1,η2)-convex functions are obtained....

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Veröffentlicht in:Journal of Mathematics 2018-01, Vol.2018 (2018), p.1-10
Hauptverfasser: Rostamian Delavar, M., de La Sen, Manuel, Mohammadi Aslani, S.
Format: Artikel
Sprache:eng
Schlagworte:
Applied mathematics
Calculus
Convex analysis
Equality
Integrals
Mathematics
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Zusammenfassung:This paper deals with Hermite-Hadamard-Fejér inequality for (η1,η2)-convex functions via fractional integrals. Some mid-point and trapezoid type inequalities related to Hermite-Hadamard inequality when the absolute value of derivative of considered function is (η1,η2)-convex functions are obtained. Furthermore, a refinement for classic Hermite-Hadamard inequality via fractional integrals is given when a positive (η1,η2)-convex function is increasing.
ISSN:2314-4629
2314-4785
DOI:10.1155/2018/5864091