Interpolations of Jensen's inequality

Article Sidebar

PDF
Published: Jun 30, 2003
DOI: https://doi.org/10.5556/j.tkjm.34.2003.265

Main Article Content

S. S. Dragomir
C. E. M. Pearce
J. Pevcari’ c

Abstract

Weighted and unweighted interpolations of general order are given for Jensen's integral inequality. Various upper-bound estimates are made for the differences between the interpolates and some convergence results erived. The results generalise and subsume a body of earlier work and employ streamlined proofs.

Article Details

How to Cite
Dragomir, S. S., Pearce, C. E. M., & Pevcari’ c, J. (2003). Interpolations of Jensen’s inequality. Tamkang Journal of Mathematics, 34(2), 175–188. https://doi.org/10.5556/j.tkjm.34.2003.265
Issue
Vol. 34 No. 2 (2003)
Section
Papers
Author Biographies

S. S. Dragomir

School of Communications and Informatics, Victoria University of Technology, PO Box 14428, Melbourne City, MC 8001 Australia.

C. E. M. Pearce

Applied Mathematics Department, Adelaide University, Adelaide, SA 5005, Australia.

J. Pevcari’ c

Faculty of Textile Technology, University of Zagreb, Pierottijeva 6, 10000 Zagreb, Croatia.