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

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MR Zbl
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 
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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