Some Gruss typeinequalities involving generalized fractional integral operator

Authors

  • S. Joshi Manipal University Jaipur, India
  • E. Mittal The IIS University, Jaipur, India
  • R.M. Pandey Amity University Noida, India
  • S.D. Purohit Rajasthan Technical University Kota, India

DOI:

https://doi.org/10.31926/but.mif.2019.12.61.1.4

Keywords:

Gruss inequality, Gauss hypergeometric function, Saigo-Maeda fractional integral operators

Abstract

The analogous version of Gruss inequalities has been established using the generalized hypergeometric function fractional integral operators. The results are generalizations of Gruss-type inequalities in fractional integral operators. Our main deduction will break into results noted for appropriate changes of fractional integral parameter and degree of the fractional operator.

Author Biographies

S. Joshi, Manipal University Jaipur, India

Department of Mathematics & Statistics 

E. Mittal, The IIS University, Jaipur, India

Department of Mathematics

R.M. Pandey, Amity University Noida, India

Department of Mathematics

S.D. Purohit, Rajasthan Technical University Kota, India

Department of HEAS (Mathematics)

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Published

2019-07-12

Issue

Vol. 12(61) No. 1 (2019)

Section

MATHEMATICS