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Bochner integral

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Bochner integral [¦bäk·nər int·i·grəl]
(mathematics)
The Bochner integral of a function, ƒ, with suitable properties, from a measurable set,A, to a Barach space,B, is the limit of the integrals overAof a sequence of simple functions,sn, fromAtoBsuch that the limit of the integral overAof the norm of ƒ -snapproaches zero.


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Abstract Some Gruss type inequalities for the Bochner integral of vector-valued functions in real or complex Banach spaces are given.
 
 
 
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