Research article

Some parameterized integral inequalities for p-convex mappings via the right Katugampola fractional integrals

  • Received: 07 November 2019 Accepted: 09 January 2020 Published: 20 January 2020
  • MSC : 26A33, 26A51, 26D15, 26D10

  • We use the definition of a fractional integral operators, proposed by Katugampola, to establish a fractional Hermite-Hadamard's inequality for p-convex mappings and an identity with two parameters. We derive several parameterized integral inequalities associated with this identity, and provide three examples to illustrate the obtained results.

    Citation: Gou Hu, Hui Lei, Tingsong Du. Some parameterized integral inequalities for p-convex mappings via the right Katugampola fractional integrals[J]. AIMS Mathematics, 2020, 5(2): 1425-1445. doi: 10.3934/math.2020098

    Related Papers:

  • We use the definition of a fractional integral operators, proposed by Katugampola, to establish a fractional Hermite-Hadamard's inequality for p-convex mappings and an identity with two parameters. We derive several parameterized integral inequalities associated with this identity, and provide three examples to illustrate the obtained results.


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