Title of article
On Some New Extensions of Inequalities of Hermite-Hadamard Type for Generalized Fractional Integrals
Author/Authors
Budak ، Huseyin Department of Mathematics - Faculty of Science and Arts - Duzce University , Bilişik ، Candan Can Department of Mathematics - Faculty of Science and Arts - Duzce University , Sarikaya ، Mehmet Zeki Department of Mathematics - Faculty of Science and Arts - Duzce University
From page
65
To page
79
Abstract
In this paper, we establish some inequalities for generalized fractional integrals by utilizing the assumption that the second derivative of ϕ(x) = ϖ ( κ1κ2/ κ ) is bounded. We also prove again a Hermite-Hadamard type inequality obtained in [34] under the condition ϕ ′ (κ1 + κ2 − κ) ≥ ϕ ′ (κ) instead of harmonically convexity of ϖ. Moreover, some new inequalities for k-fractional integrals are given as special cases of main results.
Keywords
Hermite , Hadamard inequality , convex function , Bounded function
Journal title
Sahand Communications in Mathematical Analysis
Journal title
Sahand Communications in Mathematical Analysis
Record number
2722646
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