Can I use a different power adapter with my TV with different Ampere output
I assume that both of the chargers are DC, I hope the new charger isn't AC.
The original charger was 19.5V 5.2A = 101.4 Watts
The new charger is 19.5V 4.35A = 84.825 Watts
My guess is that the power isn't enough to power up your TV, and if by chance your TV works with 84.825 Watts then the new charger will be very hot and will burn soon because the TV needs more power and the source isn't able to provide it.
In general consider this when buying any replacement charger:

Don't buy unknown/cheap chargers

Type of current flow should be the same as the original charger: DC = DC or AC = AC

Voltage should be exactly the same : 19.5 = 19.5

Amperage provided by the source (New Charger) should be More or Equal to the Amperage needed by the destination (Ex: TV)


So; in your case; the new charger should be :
19.5V DC Exactly  and 4.35A or more