Sharp inequalities of Ostrowski type for convex functions defined on linear spaces and application

نویسندگان

  • Eder Kikianty
  • Sever Silvestru Dragomir
  • Pietro Cerone
چکیده

An Ostrowski type inequality for general convex functions defined on linear spaces is generalised. Some inequalities which improve the HermiteHadamard type inequality for convex functions defined on linear spaces are derived using the obtained result. The results in normed linear spaces are used to obtain some inequalities which are related to the given norm and associated semi-inner products, and prove the sharpness of the constants in those inequalities.

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عنوان ژورنال:
  • Computers & Mathematics with Applications

دوره 56  شماره 

صفحات  -

تاریخ انتشار 2008