summable उदाहरण वाक्य

उदाहरण वाक्य

1. Whenever a series is Ces�ro summable, it is also Abel summable and has the same sum.
2. If a series is convergent, then it is Ces�ro summable and its Ces�ro sum is the usual sum.
3. Hence we say that any sequence a _ n is Ces�ro summable to some " a " if
4. The above definitions work for signals that are square integrable, or square summable, that is, of finite energy.
5. Beckman and Quarles also provide a counterexample for Hilbert space, the space of square-summable sequences of real numbers.
6. For any convergent sequence, the corresponding series is Ces�ro summable and the limit of the sequence coincides with the Ces�ro sum.
7. The implication is that the Fourier series of any continuous function is Ces�ro summable to the value of the function at every point.
8. Generally, the terms of a summable series should decrease to zero; even could be expressed as a limit of such series.
9. On the other hand, taking the Cauchy product of Grandi's series with itself yields a series which is Abel summable but not Ces�ro summable:
10. On the other hand, taking the Cauchy product of Grandi's series with itself yields a series which is Abel summable but not Ces�ro summable: