Transformation of positive functions by linear operators
- 1 September 1972
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Circuit Theory
- Vol. 19 (5) , 460-465
- https://doi.org/10.1109/TCT.1972.1083518
Abstract
In an earlier paper the author proved a conjecture of Vowels: iff/gis a positive function, so isf'/g', i.e., the positive property is preserved on differentiating the numerator and denominator. This paper generalizes this transformation process by the use of certain classes, of linear operators, both for general positive functions and for 2-element-type network functions, for which characterization theorems are first established.Keywords
This publication has 2 references indexed in Scilit:
- A note on positive real functionsIEEE Transactions on Circuit Theory, 1971
- Some Theorems on Positive FunctionsIEEE Transactions on Circuit Theory, 1965