Research article Special Issues

New generalized integral inequalities with applications

  • Received: 06 March 2019 Accepted: 15 July 2019 Published: 31 July 2019
  • MSC : Primary: 26A51; Secondary: 26A33, 26D07, 26D10, 26D15

  • The authors have proved an identity for a generalized integral operator via differentiable function. By applying the established identity, the generalized trapezium type integral inequalities have been discovered. It is pointed out that the results of this research provide integral inequalities for almost all fractional integrals discovered in recent past decades. Various special cases have been identified. Some applications of presented results have been analyzed.

    Citation: Artion Kashuri, Rozana Liko, Silvestru Sever Dragomir. New generalized integral inequalities with applications[J]. AIMS Mathematics, 2019, 4(3): 984-996. doi: 10.3934/math.2019.3.984

    Related Papers:

  • The authors have proved an identity for a generalized integral operator via differentiable function. By applying the established identity, the generalized trapezium type integral inequalities have been discovered. It is pointed out that the results of this research provide integral inequalities for almost all fractional integrals discovered in recent past decades. Various special cases have been identified. Some applications of presented results have been analyzed.


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