Sums of squares of |zeta(1/2+it)| over short intervals

Sums of squares of $|\zeta(1/2+it)|$ over short intervals are investigated. Known upper bounds for the fourth and twelfth moment of $|\zeta(1/2+it)|$ are derived. A discussion concerning other possibilities for the estimation of higher power moments of $|\zeta(1/2+it)|$ is given.