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
X
X
X
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Reference: S. G. Wayment, "An Integral Mean Value Theorem,"
Math. Gazette
,
54
, 1970 pp. 300–301.
Mean-Value Theorem
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MathWorld
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Mean Value Theorem
(
The Wolfram Demonstrations Project
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A Generalization of the Mean Value Theorem
(
The Wolfram Demonstrations Project
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Integral Mean Value Theorem
(
The Wolfram Demonstrations Project
)
Flett's Theorem
(
The Wolfram Demonstrations Project
)
The Integral Mean Value Theorem: An Illustration
(
The Wolfram Demonstrations Project
)
"
Two Integral Mean Value Theorems of Flett Type
" from
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http://demonstrations.wolfram.com/TwoIntegralMeanValueTheoremsOfFlettType/
Contributed by:
Soledad María Sáez Martínez
and
Félix Martínez de la Rosa
Analysis
Calculus
Integrals
Two Integral Mean Value Theorems
Logarithmic Integral on the Critical Line
Riemann versus Lebesgue
Riemann Sums
Riemann Sums: A Simple Illustration
The Integral Mean Value Theorem: An Illustration
Bolzano's Theorem
Lebesgue Integration
Improper Integrals
Intersection of Two Cylinders
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