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The generalised Hadamard inequality, g-convexity and functional Stolarsky means

Published online by Cambridge University Press:  17 April 2009

E. Neuman ,
C. E. M. Pearce ,
J. Pečarić  and
V. Šimić
E. Neuman
Affiliation:
Department of Mathematics, Southern Illinois University at Carbondale, Carbondale, IL 62901–4408, United States of America, e-mail: edneuman@siu.edu
C. E. M. Pearce
Affiliation:
School of Applied Mathematics, Adelaide University, Adelaide SA 5005, Australia, e-mail: cpearce@maths.adelaide.edu.au
J. Pečarić
Affiliation:
Faculty of Textile Technology, University of Zagreb, Pierottijeva 6, 11000 Zegreb, Croatia, e-mail: pecaric@hazu.hr
V. Šimić
Affiliation:
Faculty of Textile Technology, University of Zagreb, Pierottijeva 6, 11000 Zagreb, Croatia, e-mail: vidasim@ztk.ttf.hr
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Abstract

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We explore the role of weighted functional Stolarsky means in providing bounds in generalised Hadamard-type inequalities for g-convex functions. Refinements are given for Levinson's inequality and the generalised Hadamard inequality. Applications are made to multivariate weighted functional Stolarsky means.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 68 , Issue 2 , October 2003 , pp. 303 - 316
Copyright
Copyright © Australian Mathematical Society 2003

References

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