This is the 15572nd most frequent Russian word.
приветствуя
Welcoming or greeting.
Here, 'приветствуя' indicates the present active participle describing simultaneous action of 'welcoming' the guests.
Приветствуя гостей, он улыбался.
Welcoming the guests, he smiled.
In this sentence, 'приветствуя' conveys the ongoing action of 'greeting' while performing another action.
Она стояла на пороге, тепло приветствуя новых соседей.
She stood at the doorway, warmly greeting the new neighbors.
'Приветствуя' in this example describes the act of 'greeting' simultaneously while 'feeling joy'.