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SOME RESULTS ON COMPARING TWO INTEGRAL MEANS FOR ABSOLUTELY CONTINUOUS FUNCTIONS AND APPLICATIONS
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- Inequalities
DAH-YAN HWANG, SILVESTRU SEVER DRAGOMIR
Journal:

Bulletin of the Australian Mathematical Society / Volume 90 / Issue 2 / October 2014

Published online by Cambridge University Press:

10 April 2014, pp. 264-274

Print publication:

October 2014
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Some better estimates for the difference between the integral mean of a function and its mean over a subinterval are established. Various applications for special means and probability density functions are also given.

BESSEL- AND GRÜSS-TYPE INEQUALITIES IN INNER PRODUCT MODULES
Senka Banić, Dijana Ilišević, Sanja Varošanec
Journal:

Proceedings of the Edinburgh Mathematical Society / Volume 50 / Issue 1 / February 2007

Published online by Cambridge University Press:

09 February 2007, pp. 23-36
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In this paper we give Bessel- and Grüss-type inequalities in an inner product module over a proper $H^*$-algebra or a $C^*$-algebra.