Definition:Strictly Decreasing/Real Function
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Let $f$ be a real function.
Then $f$ is strictly decreasing if and only if:
- $x < y \implies \map f y < \map f x$
Also known as
A strictly decreasing (real) function is also known as a strictly order-reversing (real) function.
Some sources give it as a strictly monotonic decreasing function
- Definition:Decreasing Real Function
- Definition:Strictly Increasing Real Function
- Definition:Strictly Monotone Real Function
- 1977: K.G. Binmore: Mathematical Analysis: A Straightforward Approach ... (previous) ... (next): $\S 12.1$
- 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): Entry: monotonic decreasing function
- 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): Entry: monotonic decreasing function