Results 201 to 210 of about 64,585 (262)

Bayesian Image Mediation Analysis. [PDF]

open access: yesJ Am Stat Assoc
Xu Y, Johnson TD, Heitzeg M, Kang J.
europepmc   +1 more source

On the Mean Value Theorem

Optimization, 1988
Mean value theorems for nonsmooth functions are presented. Two versions are given, both using the contingent derivative. In. the first one a tangential convexity condition is used. In the second one no convexity assumption is made but the estimate. involves the contingent derivative df (x, b − a) of f at points arbitrarily close to the segment [a, b ...
exaly   +2 more sources

To the mean-value theorem

Journal of Mathematical Sciences, 2012
The author proves several extensions of the well-known Lagrange mean value theorem for cases of continuous functions on the real line and in the complex plane. The paper starts with integrating (Denjoy) the equations in the Lagrange mean value theorem and recognizing that the slope of the chord through \((a,f(a))\) and \((b,f(b))\) is equal to the ...
exaly   +2 more sources

ON THE FRACTIONAL MEAN-VALUE THEOREM

International Journal of Bifurcation and Chaos, 2012
In this paper, we derive a fractional mean-value theorem both in the sense of Riemann–Liouville and in the sense of Caputo. This new formulation is more general than the generalized Taylor's formula of Kolwankar and the fractional mean-value theorem in the sense of Riemann–Liouville developed by Trujillo.
Peng Guo, Changpin Li, Guanrong Chen
openaire   +2 more sources

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