22

\[\left| {{{\left| {f\left( y \right)} \right|}^p} - {{\left| {f\left( x \right)} \right|}^p}} \right|=\left| {\int_x^y {p{{\left| {f\left( t \right)} \right|}^{p - 1}}f'\left( t \right)dt} } \right| \le \left( {p - 1} \right)\int_x^y {{{\left| {f\left( t \right)} \right|}^p}dt}  + \int_x^y {{{\left| {f'\left( t \right)} \right|}^p}dt} \]