Some Hermite–Hadamard and Ostrowski type inequalities for fractional integral operators with exponential kernel

  • Hüseyin Budak Department of Mathematics, Faculty of Science and Arts, Düzce University, Düzce
  • Mehmet Zeki Sarikaya Department of Mathematics, Faculty of Science and Arts, Düzce University, Düzce
  • Fuat Usta Department of Mathematics, Faculty of Science and Arts, Düzce University, Düzce
  • Hüseyin Yildirim Department of Mathematics, Faculty of Science and Arts, University of Kahramanmaraş Sütçü İmam, 46100, Kahramanmaraş
Keywords: Hermite–Hadamard inequality, Ostrowski inequality, fractional integral operators, convex function

Abstract

We rstly establish Hermite–Hadamard type integral inequalities for fractional integral operators. Secondly, we give new generalizations of fractional Ostrowski type inequalities through convex functions via Hölder and power means inequalities. In accordance with this purpose, we use fractional integral operators with exponential kernel.

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Published
2019-08-09
Section
Articles