Generalization of the Harmonic Weighted Mean Via Pythagorean Invariance Identity and Application
Under some simple conditions on the real functions f and g defined on an interval I ⊂ (0, ∞), the two-place functions Af (x, y) = f (x) + y − f (y) and Gg(x,y)=g(x)g(y)y{G_g}\left({x,y} \right) = {{g\left(x \right)} \over {g\left(y \right)}}y generalize, respectively, A and G, the classical weighted...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Sciendo
2020-07-01
|
| Series: | Annales Mathematicae Silesianae |
| Subjects: | |
| Online Access: | http://www.degruyter.com/view/j/amsil.2020.34.issue-1/amsil-2020-0015/amsil-2020-0015.xml?format=INT |