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On Some Inequalities of the Grüss-Barnes and Borell Type

✍ Scribed by L. Maligranda; J.E. Pecaric; L.E. Persson

Publisher
Elsevier Science
Year
1994
Tongue
English
Weight
517 KB
Volume
187
Category
Article
ISSN
0022-247X

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Based on the Euler-Maclaurin formula in the spirit of [1], we provide a unified approach to some inequalities of Ostrowski-Griiss type, which include some existing results as special cases. Some illustrative examples are also included.

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In this paper we derive some Grüss and Ostrowski-Grüss type inequalities for functions in L p -spaces. As applications, we provide some new estimates for the error in some numerical integration rules. In particular, we deal with the mid-point and trapezoid quadrature rules.