equicontinuous मीनिंग इन हिंदी

उदाहरण वाक्य

1. The closure of an equicontinuous set is again equicontinuous.
2. The closure of an equicontinuous set is again equicontinuous.
3. Every finite set of continuous functions is equicontinuous.
4. Then is compact in the compact-open topology if and only if it is equicontinuous, pointwise relatively compact and closed.
5. It is usually taken to be an equicontinuous, uniformly bounded set of functions, which is compact by the Arzel? Ascoli theorem.
6. Every member of a uniformly equicontinuous set of functions is uniformly continuous, and every finite set of uniformly continuous functions is uniformly equicontinuous.
7. Every member of a uniformly equicontinuous set of functions is uniformly continuous, and every finite set of uniformly continuous functions is uniformly equicontinuous.
8. The unit ball of defines, by restricting from to, a set of ( linear ) continuous functions on that is bounded and equicontinuous.
9. As noted above, it actually converges uniformly on a compact subset of " G " if it is equicontinuous on the compact set.
10. In particular, the limit of an equicontinuous pointwise convergent sequence of continuous functions " f n " on either metric space or locally compact space is continuous.