Inequalities involving Mellin transform, integral mean, exponential and logarithmic mean
Abstract
In this paper the Mellin transform in complex domain is considered for functions f which vanish beyond a finite domain and whose derivatives belongs to Lp spaces. New inequalities involving the Mellin transform of f, integral mean of f, exponential mean and logarithmic mean of the endpoints of the domain of f are presented.
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PDFDOI: https://doi.org/10.52846/ami.v39i2.488