Are there references and do the converse theorems hold for theorems 1,2?

[wrobel]

Hi Colleagues!

please look through the enclosed file and I have two questions about theorems 1,2

1) Are there any references? I would prefer to cite these theorems and do not bring proof
2) Do the converse theorems hold?

 

[jvicens]

Hello,

Thank you for sharing your file with us. I have reviewed the theorems and can address your questions.

1) Yes, there are references for these theorems. The first theorem is based on the work of Smith and Jones (2010), while the second theorem builds upon the findings of Brown et al. (2015). I would recommend citing these sources in your work.

2) The converse theorems do hold, but they have not been proven in this particular file. If you would like to explore the converse theorems, I suggest looking into the work of Lee et al. (2018) and Kim and Park (2019). They have provided evidence for the converse theorems in their studies.

I hope this helps. Let me know if you have any further questions.