Those are not operational amplifiers.
They all have a fixed (other than the TPA6211A1, which can be set by varying the input resistors) relatively low gain, compared to an op-amp, and automatically bias the output at an average of half the supply voltage, thus eliminating the need for additional resistors.
The TPA6211A1 and TPA2012D2 don't need any input capacitors, if the inputs are both within 0.5V and DD-0.8V (this is the common mode range), otherwise, use input capacitors and allow the inputs to bias themselves.
The MAX98306 need input capacitors, otherwise it will upset the internal biasing.
Because the inputs to the amplifiers are differential, either input can be ground or signal, the only difference is, if the signal is at the inverting input it'll be inverted.
If you want to connect a stereo amplifier, to a mono source, just connect both the inverting and non-inverting inputs together (no capacitors) and then connect one to ground and one to the signal, each via a suitable capacitor.