INTERNATIONAL JOURNAL OF ENGLISH LINGUISTICS. CANADIAN CENTER SCIENCE & EDUCATION. Vol. 9. 2019. P. 392-403
In this article, we establish some new weighted Hardy-type inequalities involving some variants of extended Riemann-Liouville fractional derivative operators, using convex and increasing functions. As special cases of the main results, we obtain the results of [18,19]. We also prove the boundedness of the k-fractional integral operator on L-p[a, b].