International Journal of Mathematics and Mathematical Sciences
Volume 2006 (2006), Article ID 79196, 7 pages
doi:10.1155/IJMMS/2006/79196
On weighted inequalities for certain fractional integral operators
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.
Abstract
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.