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On Mean Value Theorems

The American Mathematical Monthly, 1969
(1969). On Mean Value Theorems. The American Mathematical Monthly: Vol. 76, No. 1, pp. 70-73.
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Quantitative Mean-Value Theorems

1980
In the present chapter we obtain two estimates for the average behaviour of a multiplicative function, and pay attention to the error terms involved. Besides being of interest in their own right the results which we shall prove will be applicable to the study of additive functions, both globally in the next chapter, and locally in Chapter 21.
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Other Mean Value Theorems

2014
In this chapter, which is independent of all subsequent chapters, we allow ourselves a brief diversion. We have met and used Rolle’s Theorem (Theorem 5.1), its extension the Mean Value Theorem (Theorem 5.2), and its extension Cauchy’s Mean Value Theorem (Theorem 5.11). Here we consider other Mean Value – type theorems.
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The Mean Value Theorem

2017
This chapter is dedicated entirely to the Mean Value Theorem and its complex history. The opening section offers modern statements of the Mean Value Theorem and some of its variants, proofs of these results, their interrelations, and some applications. The second section provides to some extent the prehistory of the Mean Value Theorem, from Apollonius ...
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Mean-Value Theorem with Small Subdifferentials

Journal of Optimization Theory and Applications, 1997
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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The Mean Value Theorem

1986
Giver a curve, y = f(x), we shall use the derivative to give us information about the curve. For instance, we shall find the maximum and minimum of the graph, and regions where the curve is increasing or decreasing. We shall use the mean value theorem, which is basic in the theory of derivatives.
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On a Certain Mean Value Theorem

Moscow University Mathematics Bulletin, 2019
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Mean Value Theorems.

The American Mathematical Monthly, 1972
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A Mean Value Theorem

The American Mathematical Monthly, 1970
R. J. Easton, S. G. Wayment
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