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A fractional mean value theorem, and a Taylor theorem, for strongly continuous vector valued functions. (English) Zbl 0163.29803

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References:

[1] J. B. Diaz, R. Výborný: On mean-value theorems for strongly continuous vector valued functions. Contributions to Differential Equations, III, 1964, 107-118.
[2] A. K. Aziz, J. B. Diaz: On a mean-value theorem of the differential calculus of vectorvalued functions, and uniqueness theorems for ordinary differential equations in a linear normed space. Contributions to Differential Equations, Vol. I, (1963), 251-269.
[3] W. H., G. C. Young: On derivatives and the theorem of the mean. Quarterly Journal of Pure and Applied Mathematics, 40, (1909), 1-26. · JFM 39.0348.03
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