Page 1 Next

Displaying 1 – 20 of 32

Showing per page

Some logarithmic functional equations

Vichian Laohakosol, Watcharapon Pimsert, Charinthip Hengkrawit, Bruce Ebanks (2012)

Archivum Mathematicum

The functional equation f ( y - x ) - g ( x y ) = h 1 / x - 1 / y is solved for general solution. The result is then applied to show that the three functional equations f ( x y ) = f ( x ) + f ( y ) , f ( y - x ) - f ( x y ) = f ( 1 / x - 1 / y ) and f ( y - x ) - f ( x ) - f ( y ) = f ( 1 / x - 1 / y ) are equivalent. Finally, twice differentiable solution functions of the functional equation f ( y - x ) - g 1 ( x ) - g 2 ( y ) = h 1 / x - 1 / y are determined.

Currently displaying 1 – 20 of 32

Page 1 Next