The specifications sheet for your Television indicates it uses 45 watts FULL on. If you add a DVD player to it, those use a lot more power. So with that said, I would go with a 300 watt pure-sine wave inverter.... just remember if they have a fan, usually the less expensive models, the fan noise will drive you crazy.
One additional item to remember..... the output voltage of the inverter is dependent on the input voltage from your battery(s). Inverters are designed to operate at 12.6 to 13 volts for a full output of 110VAC, they usually put out 115VAC at 12.8 (at least the ones I tested). When the battery voltage starts dropping, so does the AC output voltage. When your battery level hits 12.0VDC, depending on the AC load, the AC voltage may only be 99 to 100VAC. To insure that you do not damage your electronics (Tv, radio....) you need to shut down the inverter.
I purchased an inexpensive 110VAC Digital Voltage Display that I use in the TT. It is a nice addition to the DC Digital Display meters. I am not sure if the 110VAC digital display will work with a non-pure sine wave inverter.
Your Tv info:
Direc Tech Sales - Continu.us - 26" LED HDTV (CT-2620)
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RVing with SOLAR
Don