Sharp Inequalities of Ostrowski Type for Convex Functions Defined on Linear Spaces and Application
Kikianty, Eder and Dragomir, Sever S and Cerone, Pietro (2008) Sharp Inequalities of Ostrowski Type for Convex Functions Defined on Linear Spaces and Application. Computers and Mathematics with Applications, 56 (9). pp. 2235-2246. ISSN 0898-1221Full text for this resource is not available from the Research Repository.
An Ostrowski type inequality for convex functions defined on linear spaces is generalised. Some inequalities which improve the Hermite–Hadamard 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 to prove the sharpness of the constants in those inequalities.
|Uncontrolled Keywords:||ResPubID15150, Ostrowski type inequality, Hermite–Hadamard type inequality, semi-inner product, convex function|
|Subjects:||Faculty/School/Research Centre/Department > School of Engineering and Science
FOR Classification > 0101 Pure Mathematics
SEO Classification > 970101 Expanding Knowledge in the Mathematical Sciences
|Date Deposited:||01 Sep 2011 05:28|
|Last Modified:||01 Sep 2011 05:28|
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|Citations in Scopus:||1 - View on Scopus|
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