Sentence examples for for the case p from inspiring English sources

(for the case p < 0, we assume that f > 0 ).

A counterexample for the case p = 1 is given for the case of real interpolation.

A geometrical proof of that K ε → K0 was presented in [4] for the case p = ∞.

Meanwhile, for the case p = 1, we have the following theorem.

For the case p = 2, we cite [2 12], and references therein.

For the case p = 0, we obtain the classical Riemann-Liouville fractional derivative operator.

end{aligned} (2.21) For the case (p=1) or (i=0), the subscript p or i in (Lambda _{p,i}) will often be suppressed.

Some conditions similar to ((f_{2})) were also introduced in [3] for the case (p=2) and in [4] for the case (p>1).

In addition, for the case (p=1), we have the following result.

For the case (p<0), we assume that (x=x t)neq0) for all (tin Y).

The argument for the case (p=1) is simpler in the same way.