Some new estimates of the ‘Jensen gap’
نویسندگان
چکیده
holds. This inequality can be traced back to Jensen’s original papers [, ] and is one of the most fundamental mathematical inequalities. One reason for that is that in fact a great number of classical inequalities can be derived from (.), see e.g. [] and the references given therein. The inequality (.) cannot in general be improved since we have equality in (.) when φ(x)≡ x. However, for special cases of functions (.) can be given in a more specific form e.g. by giving lower estimates of the so-called ‘Jensen gap’
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تاریخ انتشار 2016