The answer to your query is a BIG NO.
Upon the death of the spose on whose name the property was, the same devolves (in the absence of any WILL) upon the legal heirs. The legal heirs are husband and children.
The share of the children cannot be transferred in the name of the father (husband of the deceased) on the basis of a mere Notorised Affidavit. Rather such transfer can be effected only by a REGISTERED RELINQUISHMENT DEED.
However, having not done so, the property can be sold, if all the three i.e the husband and all the children sign the SALE DEED. In other words, the Sale will not be possible, without involvement of the children.