Cyclic mean-value inequalities for the gamma function
Horst Alzer (2013)
Colloquium Mathematicae
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Horst Alzer (2013)
Colloquium Mathematicae
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Maria Jankiewicz (1974)
Applicationes Mathematicae
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David J. Grynkiewicz (2006)
Acta Arithmetica
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Edjvet, Martin, Hammond, Paul, Thomas, Nathan (2001)
Experimental Mathematics
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Mária Guregová, Alexander Rosa (1968)
Matematický časopis
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K. T. Phelps (1980)
Colloquium Mathematicae
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Yakovlev, A.V. (2004)
Zapiski Nauchnykh Seminarov POMI
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Journal of Inequalities and Applications [electronic only]
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Béla Nagy (2013)
Studia Mathematica
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Two characterizations of the reductivity of a cyclic normal operator in Hilbert space are proved: the equality of the sets of cyclic and *-cyclic vectors, and the equality L²(μ) = P²(μ) for every measure μ equivalent to the scalar-valued spectral measure of the operator. A cyclic subnormal operator is reductive if and only if the first condition is satisfied. Several consequences are also presented.
K Chikawa, K Iséki, T Kusakabe (1962)
Acta Arithmetica
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C. Buchta (1987)
Discrete & computational geometry
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