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Riemann-Stieltjes Integral Inequalities for Complex Functions Defined on Unit Circle - with Applications to Unitary Operators in Hilbert Spaces (Hardcover)
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Riemann-Stieltjes Integral Inequalities for Complex Functions Defined on Unit Circle - with Applications to Unitary Operators in Hilbert Spaces (Hardcover)
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The main aim of this book is to present several results related to
functions of unitary operators on complex Hilbert spaces obtained,
by the author in a sequence of recent research papers. The
fundamental tools to obtain these results are provided by some new
Riemann-Stieltjes integral inequalities of continuous integrands on
the complex unit circle and integrators of bounded variation.
Features All the results presented are completely proved and the
original references where they have been firstly obtained are
mentioned Intended for use by both researchers in various fields of
Linear Operator Theory and Mathematical Inequalities, as well as by
postgraduate students and scientists applying inequalities in their
specific areas Provides new emphasis to mathematical inequalities,
approximation theory and numerical analysis in a simple, friendly
and well-digested manner. About the Author Silvestru Sever Dragomir
is Professor and Chair of Mathematical Inequalities at the College
of Engineering & Science, Victoria University, Melbourne,
Australia. He is the author of many research papers and several
books on Mathematical Inequalities and their Applications. He also
chairs the international Research Group in Mathematical
Inequalities and Applications (RGMIA). For details, see
https://rgmia.org/index.php.
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