Filomat 2011 Volume 25, Issue 4, Pages: 153-163
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Inequalities for two specific classes of functions using Chebyshev functional

Masjed-Jamei Mohammad

In this paper, we introduce two specific classes of functions in Lp-spaces that can generate new and known inequalities in the literature. By using some recent results related to the Chebyshev functional, we then obtain upper bounds for the absolute value of the two introduced functions and consider three particular examples. One of these examples is a suitable tool for finding upper and lower bounds of some incomplete special functions such as incomplete gamma and beta functions.

Keywords: Chebyshev functional, Upper bounds, Gruss type inequalities, kernel function, Incomplete special functions