Monotone convergence
A sequence which is either increasing, decreasing, non-increasing, or non-decreasing is called a monotone sequence. A sequence which is either increasing, or decreasing is called strictly monotone.
What is monotonic non-decreasing function?
[‚män·ə‚tōn ¦nän·di′krēs·iŋ ‚fəŋk·shən] (mathematics) A function which never decreases, that is, if x ≤ y then ƒ(x) ≤ ƒ(y). Also known as monotone increasing function; monotonically nondecreasing function.
What is monotone decreasing sequence?
A sequence {an} is called increasing if. an≤an+1 for all n∈N. It is called decreasing if. an≥an+1 for all n∈N. If {an} is increasing or decreasing, then it is called a monotone sequence.
