Hermite-Hadamard Type Inequalities for convex functions via generalized fractional integral operators

Erhan Set, and Abdurrahman Gözpinar. "Hermite-Hadamard Type Inequalities for convex functions via generalized fractional integral operators." Topological Algebra and its Applications 5.1 (2016): 55-62. <http://eudml.org/doc/288417>.

@article{ErhanSet2016,
abstract = {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.},
author = {Erhan Set, Abdurrahman Gözpinar},
journal = {Topological Algebra and its Applications},
keywords = {Hermite-Hadamard inequality; Riemann-Liouville fractional integral; fractional integral operator},
language = {eng},
number = {1},
pages = {55-62},
title = {Hermite-Hadamard Type Inequalities for convex functions via generalized fractional integral operators},
url = {http://eudml.org/doc/288417},
volume = {5},
year = {2016},
}

TY - JOUR
AU - Erhan Set
AU - Abdurrahman Gözpinar
TI - Hermite-Hadamard Type Inequalities for convex functions via generalized fractional integral operators
JO - Topological Algebra and its Applications
PY - 2016
VL - 5
IS - 1
SP - 55
EP - 62
AB - 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.
LA - eng
KW - Hermite-Hadamard inequality; Riemann-Liouville fractional integral; fractional integral operator
UR - http://eudml.org/doc/288417
ER -