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

Erhan Set; Abdurrahman Gözpinar

Topological Algebra and its Applications (2016)

- Volume: 5, Issue: 1, page 55-62
- ISSN: 2299-3231

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topErhan 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 -