Abstract
Inequalities in estimating a type of ˇ Cebyˇsev functional involving the p-HH-norms are obtained by applying the known results by Gr¨uss, Ostrowski, ˇ Cebyˇsev, and Lupas¸. Some of these inequalities are proven to be sharp. In 1998, Dragomir and Fedotov considered a generalised ˇ Cebyˇsev functional, in order to approximate the Riemann-Stieltjes integral. In this paper, some sharp bounds for the generalised ˇ Cebyˇsev functional with convex integrand and monotonically increasing integrator are established as well. An application for the ˇ Cebyˇsev functional involving the p-HH-norms is also considered; and the bounds are proven to be sharp.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
