Research article

Some generalized fractional integral Simpson’s type inequalities with applications

  • Received: 10 June 2020 Accepted: 08 July 2020 Published: 14 July 2020
  • MSC : 26D15, 26A51

  • In the article, we establish a Simpson-type generalized identity containing multi-parameters and derive some new estimates for the generalized Simpson's quadrature rule via the Raina fractional integrals. As applications, we provide several inequalities for the f -divergence measures and probability density functions.

    Citation: Sabir Hussain, Javairiya Khalid, Yu Ming Chu. Some generalized fractional integral Simpson’s type inequalities with applications[J]. AIMS Mathematics, 2020, 5(6): 5859-5883. doi: 10.3934/math.2020375

    Related Papers:

  • In the article, we establish a Simpson-type generalized identity containing multi-parameters and derive some new estimates for the generalized Simpson's quadrature rule via the Raina fractional integrals. As applications, we provide several inequalities for the f -divergence measures and probability density functions.


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