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Ostrowski’s type inequalities for complex functions defined on unit circle with applications for unitary operators in Hilbert spaces

S.S. Dragomir — 2015

Archivum Mathematicum

Some Ostrowski’s type inequalities for the Riemann-Stieltjes integral a b f e i t d u t of continuous complex valued integrands f : 𝒞 0 , 1 defined on the complex unit circle 𝒞 0 , 1 and various subclasses of integrators u : a , b 0 , 2 π of bounded variation are given. Natural applications for functions of unitary operators in Hilbert spaces are provided as well.

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