A STEFFENSEN TYPE INEQUALITY
HILLEL
GAUCHMAN
E-Mail: cfhvg@ux1.cts.eiu.edu
DEPARTMENT OF MATHEMATICS,
EASTERN ILLINOIS UNIVERSITY, CHARLESTON, IL 61920, USA
Received 26 October, 1999; accepted 7 December,
1999.
Communicated by: D.B. Hinton
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ABSTRACT.
Steffensen’s inequality deals with the comparison between
integrals over a whole interval [a, b] and integrals
over a subset of [a, b]. In this paper we prove an
inequality which is similar to Steffensen’s inequality.
The most general form of this inequality deals with
integrals over a measure space. We also consider the
discrete case.
Key words:
Steffensen
inequality, upper-separating
subsets.
2000 Mathematics Subject
Classification: 26D15.
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R.P.
Agarwal