Some properties of g-Mellin convolution

Some additional properties of g-Mellin convolution of two real functions are shown. The algebraic properties: commutativity, associativity, associativity with scalar pseudo-multiplication, and distributivity of g-Mellin convolution over pseudo-addition are proven. Also, the pseudo-integration of g-Mellin convolution is shown. Some illustrative examples of properties of g-Mellin convolution are given.