Abstract
We present here several self adjoint operator Ostrowski type inequalities to all directions.
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References
G. Anastassiou, Handbook of Analytic-Computational Methods in Applied Mathematics (Chapman & Hall / CRC, Boca Raton, 2000)
G. Anastassiou, Quantitative Approximations (Chapman & Hall / CRC, Boca Raton, 2001)
G. Anastassiou, Advanced Inequalities (World Scientific, New Jersey, 2011)
G. Anastassiou, Advances on Fractional Inequalities (Springer, New York, 2011)
G. Anastassiou, Self adjoint operator Ostrowski type inequalities, J. Comput. Anal. Appl. (2016, accepted)
L.J. Dedic, M. Matic, J. Pečaric, On generalizations of Ostrowski inequality via some Euler-type identities. Math. Inequalities Appl. 3(3), 337–353 (2000)
L.J. Dedic, J. Pečaric, N. Ujevic, On generalizations of Ostrowski inequality and some related results. Czechoslov. Math. J. 53(128), 173–189 (2003)
S.S. Dragomir, Inequalities for functions of selfadjoint operators on Hilbert Spaces (2011), ajmaa.org/RGMIA/monographs/InFuncOp.pdf
S. Dragomir, Operator Inequalities of Ostrowski and Trapezoidal Type (Springer, New York, 2012)
A.M. Fink, Bounds on the deviation of a function from its averages. Czechoslov. Math. J. 42(117), 289–310 (1992)
T. Furuta, J. Mićić Hot, J. Pečaric, Y. Seo, Mond-Pečaric Method in Operator Inequalities. Inequalities for Bounded Selfadjoint Operators on a Hilobert Space (Element, Zagreb, 2005)
G. Helmberg, Introduction to Spectral Thery in Hilbert Space (Wiley, New York, 1969)
A. Ostrowski, Über die Absolutabweichung einer differtentiebaren Funktion von ihrem Integralmittelwert. Comment. Math. Helv. 10, 226–227 (1938)
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Anastassiou, G.A. (2017). Self Adjoint Operator Ostrowski Inequalities. In: Intelligent Comparisons II: Operator Inequalities and Approximations. Studies in Computational Intelligence, vol 699. Springer, Cham. https://doi.org/10.1007/978-3-319-51475-8_5
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DOI: https://doi.org/10.1007/978-3-319-51475-8_5
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