IJPAM: Volume 44, No. 4 (2008)
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Abstract.In this one more paper on convexity, we referee, on the top of everyone else, the lower bound, proposed by S. Fitzpatrick et al, for , by applying our own work to their earlier deductions. On the top of that, we define results also for and write a bit about why convexity is not a proper extension of the concept of convexity in what regards the set of the real numbers, but is. And, as a side result, we get to improve the range of choices for the Hermite-Hadamard inequality bounds, in terms of constants.
Received: March 2, 2008
AMS Subject Classification: 26D10, 26D15
Key Words and Phrases: Hermite-Hadamard, inequality, lower bound, upper bound, Sever Dragomir, Fitzpatrick, Hermite, Hadamard, convexity, convexity,
Source: International Journal of Pure and Applied Mathematics