continuous periodic functionの例文
- :Briefly, Zygmund's proof starts by proving the statement for continuous periodic functions.
- However, F is a continuous periodic function, so by the previous special case F is uniformly zero.
- with \ displaystyle A ( t ) a piecewise continuous periodic function with period T and defines the state of the stability of solutions.
- showed that for any set of measure 0 there is a continuous periodic function whose Fourier series diverges at all points of the set ( and possibly elsewhere ).
- Finally the fact that the sequence has a dense algebraic span, in the " inner product norm ", follows from the fact that the sequence has a dense algebraic span, this time in the space of continuous periodic functions on [-\ pi, \ pi ] with the uniform norm.
