Geodesic
Ostrowski’s type inequalities for complex functions defined on unit circle with applications for unitary operators in Hilbert spaces
Archivum mathematicum, Tome 51 (2015) no. 4, pp. 233-254 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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Some Ostrowski’s type inequalities for the Riemann-Stieltjes integral $\int _{a}^{b}f\left( e^{it}\right) du\left( t\right) $ of continuous complex valued integrands $f\colon \mathcal{C}\left( 0,1\right) \rightarrow \mathbb{C}$ defined on the complex unit circle $\mathcal{C}\left( 0,1\right) $ and various subclasses of integrators $u\colon \left[ a,b\right] \subseteq \left[ 0,2\pi \right] \rightarrow \mathbb{C}$ of bounded variation are given. Natural applications for functions of unitary operators in Hilbert spaces are provided as well.
Some Ostrowski’s type inequalities for the Riemann-Stieltjes integral $\int _{a}^{b}f\left( e^{it}\right) du\left( t\right) $ of continuous complex valued integrands $f\colon \mathcal{C}\left( 0,1\right) \rightarrow \mathbb{C}$ defined on the complex unit circle $\mathcal{C}\left( 0,1\right) $ and various subclasses of integrators $u\colon \left[ a,b\right] \subseteq \left[ 0,2\pi \right] \rightarrow \mathbb{C}$ of bounded variation are given. Natural applications for functions of unitary operators in Hilbert spaces are provided as well.
DOI : 10.5817/AM2015-4-233
Classification : 26D15, 41A51, 47A63
Keywords: Ostrowski’s type inequalities; Riemann-Stieltjes integral inequalities; unitary operators in Hilbert spaces; spectral theory; quadrature rules 
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Dragomir, S.S. Ostrowski’s type inequalities for complex functions defined on unit circle with applications for unitary operators in Hilbert spaces. Archivum mathematicum, Tome 51 (2015) no. 4, pp. 233-254. doi: 10.5817/AM2015-4-233

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