Naming a boy Yashaswi generally means wishing him to be victorious or glorious or famous or successful.
The name Yashaswi belongs to Rashi Vrushik (Scorpio) and Nakshatra.
It is common in Karnataka, Uttar Pradesh as well as other states occupied by Hindu population.
[1] Yashaswi has its origination from the Sanskrit word Yashaswin.
The word was used frequently in blessings as "Yashaswi Bhava" during Vedic times by rishis and sages to bless kings.