Azam, M. K.; Zafar, Fiza; Rehman, M. A.; Ahmad, F.; Qaisar, Shahid Study of extended Weyl \(k\)-fractional integral via Chebyshev inequalities. (English) Zbl 1396.26010 Ital. J. Pure Appl. Math. 39, 771-782 (2018). Summary: In this paper, we introduce the extended Weyl \(k\)-fractional integral and then present its results and some inequalities. These results and inequalities hold true for: (i) \(k\)-Weyl fractional integral when \(s\to 0\); (ii) Weyl fractional integral when \(s\to 0\) and \(k\to 1\). MSC: 26A33 Fractional derivatives and integrals Keywords:extended Weyl \(k\)-fractional integral; Mellin transform; Chebyshev inequalities PDFBibTeX XMLCite \textit{M. K. Azam} et al., Ital. J. Pure Appl. Math. 39, 771--782 (2018; Zbl 1396.26010) Full Text: Link