Interpolations of Jensen's inequality

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

doi:10.5556/j.tkjm.34.2003.265

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Published: Jun 30, 2003

DOI: https://doi.org/10.5556/j.tkjm.34.2003.265

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.

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.

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S. S. Dragomir

C. E. M. Pearce

J. Pevcari’ c

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