TY  - JOUR
T1  - Improved Hermite Hadamard type inequalities for harmonically convex functions via Katugampola fractional integrals
AU  - Şanlı, Zeynep
AU  - Köroğlu, Tuncay
AU  - Kunt, Mehmet
PY  - 2019
DA  - August
Y2  - 2018
DO  - 10.31801/cfsuasmas.413019
JF  - Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics
JO  - Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat.
PB  - Ankara University
WT  - DergiPark
SN  - 1303-5991
SP  - 1556
EP  - 1575
VL  - 68
IS  - 2
LA  - en
AB  - In this paper,we proved three new Katugampola fractional Hermite-Hadamard type inequalities for harmonically convex functions by using the leftand the right fractional integrals independently. One of our Katugampola frac-tional Hermite-Hadamard type inequalities is better than given in [15]. Also,we gave two new Katugampola fractional identities for differentiable functions.By using these identities, we obtained some new trapezoidal type inequalitiesfor harmonically convex functions. Our results generalize many results fromearlier papers.
KW  - Harmonically convex functions
KW  - Hermite-Hadamard inequalities
KW  - Katugampola fractional integrals
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UR  - https://doi.org/10.31801/cfsuasmas.413019
L1  - https://dergipark.org.tr/en/download/article-file/677066
ER  -