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New Riemann–Liouville fractional Hermite–Hadamard type inequalities for harmonically convex functions

Zeynep Şanlı, Mehmet Kunt, Tuncay Köroğlu
2019 Arabian Journal of Mathematics  

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In this paper, we proved two new Riemann-Liouville fractional Hermite-Hadamard type inequalities for harmonically convex functions using the left and right fractional integrals independently. Also, we have two new Riemann-Liouville fractional trapezoidal type identities for differentiable functions. Using these identities, we obtained some new trapezoidal type inequalities for harmonically convex functions. Our results generalize the results given byİşcan (Hacet J Math Stat 46(6):935-942,
more » ... Mathematics Subject Classification is well known in the literature as Hermite-Hadamard's inequality. There are so many generalizations and extensions of inequalities (1.
doi:10.1007/s40065-019-0255-7 fatcat:mmqrtxz4snhf3djgtbg3w5isom
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Zeynep Şanlı, Mehmet Kunt, Tuncay Köroğlu. "New Riemann–Liouville fractional Hermite–Hadamard type inequalities for harmonically convex functions." Arabian Journal of Mathematics 9.2 (2019)