In this present work, the authors establish a new integral identity involving generalized fractional integral operators and by using this fractional-type integral identity, obtain some new Hermite-Hadamard type inequalities for functions whose first derivatives in absolute value are convex. Relevant connections of the results presented here with those earlier ones are also pointed out.
@article{bwmeta1.element.doi-10_1515_taa-2017-0009,
author = {Erhan Set and Abdurrahman G\"ozpinar},
title = {Hermite-Hadamard Type Inequalities for convex functions via generalized fractional integral operators},
journal = {Topological Algebra and its Applications},
volume = {4},
year = {2016},
pages = {55-62},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_1515_taa-2017-0009}
}
Erhan Set; Abdurrahman Gözpinar. Hermite-Hadamard Type Inequalities for convex functions via generalized fractional integral operators. Topological Algebra and its Applications, Tome 4 (2016) pp. 55-62. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_1515_taa-2017-0009/