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Ostrowski inequalities for cosine and sine operator functions. (English) Zbl 1289.47088

Some Ostrowski type inequalities are proved for cosine and sine operator functions in Banach spaces under various norms. As corollaries, applications to second order differential operators are derived.

MSC:

47D09 Operator sine and cosine functions and higher-order Cauchy problems
26D99 Inequalities in real analysis
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