On the Hermite–Hadamard-type inequalities for co-ordinated convex function via fractional integrals

By M. Sarıkaya. 2014

116 citations recorded by the source corpus.

In this paper, we initially present new some inequality of Hermite–Hadamard-type for co-ordinated convex functions on a rectangle from the plane ℝ2 via Riemann–Liouville fractional integrals. Then, we give an integral identity for fractional integrals and with the help of this integral identity we establish some integral inequalities with the right-hand side of the fractional Hermite–Hadamard-type inequality on the co-ordinates.

Subfields: Applied Mathematics

View Paper: https://www.semanticscholar.org/paper/41e4fbdafadaaa947ae20f1427467b26ba64dcab

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In Applied Mathematics

1. Jaekeun Park
2. Wangshu Wen
3. Wenjun Liu

Citations in the corpus

• Hermite-Hadamard type inequalities for MT-convex functions via classical integrals and fractional integrals (2016, background): “Due to the wide application of fractional integrals, some authors extended to study fractional HermiteHadamard, Grüss, or Ostrowski type inequalities for functions of different classes, see [2, 11, 13, 14, 15, 16, 23, 26] where further references are listed.”