East Asian mathematical journal

The Youngnam Mathematical Society (영남수학회)
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CERTAIN FRACTIONAL INTEGRAL INEQUALITIES INVOLVING HYPERGEOMETRIC OPERATORS

  • Choi, Junesang (Department of Mathematics, Dongguk University) ;
  • Agarwal, Praveen (Department of Mathematics, Anand International College of Engineering)
  • Received : 2014.01.23
  • Accepted : 2014.03.24
  • Published : 2014.05.31
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Abstract

A remarkably large number of inequalities involving the fractional integral operators have been investigated in the literature by many authors. Very recently, Baleanu et al. [2] gave certain interesting fractional integral inequalities involving the Gauss hypergeometric functions. Using the same fractional integral operator, in this paper, we present some (presumably) new fractional integral inequalities whose special cases are shown to yield corresponding inequalities associated with Saigo, Erd$\acute{e}$lyi-Kober and Riemann-Liouville type fractional integral operators. Relevant connections of the results presented here with those earlier ones are also pointed out.

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References

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