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A fractional mean value theorem, and a Taylor theorem, for strongly continuous vector valued functions
Czechoslovak Mathematical Journal, Tome 15 (1965) no. 2, pp. 299-304
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DOI : 10.21136/CMJ.1965.100672
Classification : 26.40 
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     author = {Diaz, Joaquin B. and V\'yborn\'y, Rudolf},
     title = {A fractional mean value theorem, and a {Taylor} theorem, for strongly continuous vector valued functions},
     journal = {Czechoslovak Mathematical Journal},
     pages = {299--304},
     year = {1965},
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     number = {2},
     doi = {10.21136/CMJ.1965.100672},
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Diaz, Joaquin B.; Výborný, Rudolf. A fractional mean value theorem, and a Taylor theorem, for strongly continuous vector valued functions. Czechoslovak Mathematical Journal, Tome 15 (1965) no. 2, pp. 299-304. doi: 10.21136/CMJ.1965.100672

[1] J. B. Diaz, R. Výborný: On mean-value theorems for strongly continuous vector valued functions. Contributions to Differential Equations, III, 1964, 107-118. | MR

[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. | MR

[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.

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