International Journal of Mathematics and Mathematical Sciences
Volume 2006 (2006), Article ID 79196, 7 pages

On weighted inequalities for certain fractional integral operators

R. K. Raina

Department of Mathematics, College of Technology and Engineering, MP University of Agriculture and Technology, Udaipur, Rajasthan 313 001, India

Received 31 December 2005; Revised 8 May 2006; Accepted 9 May 2006

Copyright © 2006 R. K. Raina. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


This paper considers the modified fractional integral operators involving the Gauss hypergeometric function and obtains weighted inequalities for these operators. Multidimensional fractional integral operators involving the H-function are also introduced.