On Hermite-Hadamard Inequalities for Differentiable λ-Preinvex Functions via Fractional Integrals
Abdullah Akkurt, M. Esra Yildirim, Hüseyin Yildirim
Journal of Advances in Mathematics and Computer Science · pp. 1–10 · Published 15 Jun 2016
10.9734/BJMCS/2016/26518Abstract
In this paper, we consider a new class of convex functions which is called λ-preinvex functions. We prove several Hermite-Hadamard type inequalities for differentiable λ-preinvex functions via Fractional Integrals. Some special cases are also discussed.
References (13)
- 1 On sufficiency of the Kuhn-Tucker conditions [DOI]
- 2 Hermite–Hadamard’s inequalities for fractional integrals and related fractional inequalities [DOI]
- 3 What is invexity? [DOI]
- 4 Invexity and generalized convexity [DOI]
- 5 Hermite–Hadamard-type inequalities for Riemann–Liouville fractional integrals via two kinds of convexity [DOI]
- 6 Hermite-Hadamard inequality for functions whose derivatives absolute values are preinvex [DOI]
- 7 On Hadamard integral inequalities involving two log-preinvex functions.
- 8 Fractional Hermite-Hadamard inequalities for ( α , m ) -logarithmically convex functions [DOI]
- 9 Generalized preinvex functions and their properties [DOI]
- 10 The efficient calculation of the incomplete beta-function ratio for half-integer values of the parameters 𝑎,𝑏 [DOI]
- 11 ON HERMITE-HADAMARD TYPE INTEGRAL INEQUALITIES FOR PREINVEX AND LOG-PREINVEX FUNCTIONS [DOI]
- 12 Hermite-Hadamard’s Inequalities for Preinvex Function via Fractional Integrals and Related Fractional Inequalities
- 13 Hermite-Hadamard's inequalities for preinvex functions via fractional integrals and related fractional inequalities [DOI]
Cited by 0
No indexed citations yet.
Article metrics
Real usage data collected on this platform.
9
Page views
0
PDF downloads
0
Outbound clicks
0
Citations
Views over time
Views by country
Approximate, from request IP at view time — not citizenship or institution. Countries with fewer than 5 views are grouped as "Other".
Traffic sources
Referring site, by host.
Views and downloads exclude known bots/crawlers. Citations combines this platform's own DOI-resolved index with each external source's own reported total — see Cited by above for individually listed citing works. Last refreshed 0 seconds ago.