Inequalities involving Mellin transform, integral mean, exponential and logarithmic mean

Andrea Aglic Aljinovic

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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DOI: https://doi.org/10.52846/ami.v39i2.488