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Two Integral Mean Value Theorems of Flett Type
If
is continuous on the closed interval
and
, then there exist
and
in
such that
and
The theorem is illustrated by the equivalence of the blue and striped areas.
Contributed by:
Soledad María Sáez Martínez
and
Félix Martínez de la Rosa
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Reference: S. G. Wayment, "An Integral Mean Value Theorem,"
Math. Gazette
,
54
, 1970 pp. 300–301.
RELATED LINKS
Mean-Value Theorem
(
Wolfram
MathWorld
)
Mean Value Theorem
(
Wolfram Demonstrations Project
)
A Generalization of the Mean Value Theorem
(
Wolfram Demonstrations Project
)
Integral Mean Value Theorem
(
Wolfram Demonstrations Project
)
Flett's Theorem
(
Wolfram Demonstrations Project
)
The Integral Mean Value Theorem: An Illustration
(
Wolfram Demonstrations Project
)
PERMANENT CITATION
Soledad María Sáez Martínez
and
Félix Martínez de la Rosa
"
Two Integral Mean Value Theorems of Flett Type
"
http://demonstrations.wolfram.com/TwoIntegralMeanValueTheoremsOfFlettType/
Wolfram Demonstrations Project
Published: May 2, 2008
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