Volume 2,  Issue 3, 2001

Article 36

ON A REVERSE OF JESSEN'S INEQUALITY FOR ISOTONIC LINEAR FUNCTIONALS 

S.S. DRAGOMIR

SCHOOL OF COMMUNICATIONS & INFORMATICS
VICTORIA UNIVERSITY OF TECHNOLOGY 
PO BOX 14428, MELBOURNE CITY M.C.
VICTORIA 8001, AUSTRALIA
E-Mail: sever@sci.vu.edu.au

Received 23 April, 2001; accepted 28 May, 2001.
Communicated by: A. Lupas


ABSTRACT.   A reverse of Jessen's inequality and its version for m -Y -convex and M -Y -convex functions are obtained. Some applications for particular cases are also pointed out.
Key words:
Jessen's Inequality, Isotonic Linear Functionals.

2000 Mathematics Subject Classification:
26D15, 26D99.


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Good Lower and Upper Bounds on Binomial Coefficients
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L'Hospital Type Rules for Oscillation, with Applications
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Matrix and Operator Inequalities
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Consequences of a Theorem of Erdös-Prachar
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On a Reverse of Jessen's Inequality for Isotonic Linear Functionals
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Lp-Improving Properties for Measures on R4 Supported on Homogeneous Surfaces in Some Non Elliptic Cases
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