Author/Authors :
Zeki Sarıkaya, Mehmet Department of Mathematics - Faculty of Science and Arts - D ̈uzce University, Turkey , Akkurt, Abdullah Department of Mathematics - Faculty of Science and Arts - University of Kahramanmara ̧s S ̈ut ̧c ̈u ̇Imam, Turkey , Budak, H ̈useyin Department of Mathematics - Faculty of Science and Arts - D ̈uzce University, Turkey , Esra Yıldırım, Merve Department of Mathematics - Faculty of Science and Arts - University of Cumhuriyet, Turkey , Yıldırım, H ̈useyin Department of Mathematics - Faculty of Science and Arts - University of Kahramanmara ̧s S ̈ut ̧c ̈u ̇Imam, Turkey
Abstract :
In this paper, we establish the Hermite-Hadamard type inequalities for
conformable fractional integral and we will investigate some integral
inequalities connected with the left and right-hand side of the
Hermite-Hadamard type inequalities for conformable fractional integral. The
results presented here would provide generalizations of those given in
earlier works and we show that some of our results are better than the other
results with respect to midpoint inequalities.
Keywords :
Hölder's inequality , fractional derivative , factional integral , Confromable fractional integrals , trapezoid inequality , midpoint inequality
