Link to purport by A C Bhaktivedanta Swami Srila Prabhupada

Transcript of Bhakti-Shastri class on this verse by Chaitanya Charan

Bg 10.15

svayam evātmanātmānaṁ
vettha tvaṁ puruṣottama
bhūta-bhāvana bhūteśa
deva-deva jagat-pate

Word for word: 

svayam — personally; eva — certainly; ātmanā — by Yourself; ātmānam — Yourself; vettha — know; tvam — You; puruṣa–uttama — O greatest of all persons; bhūta–bhāvana — O origin of everything; bhūta–īśa — O Lord of everything; deva–deva — O Lord of all demigods; jagat–pate — O Lord of the entire universe.

Translation: 

Indeed, You alone know Yourself by Your own internal potency, O Supreme Person, origin of all, Lord of all beings, God of gods, Lord of the universe!

 

svayam evātmanātmānaṁ, you alone know your glories.

Krishna has told from His side that Veda Aham Samate Tani, I know everything.

Arjuna is saying You are puruṣottama and You alone know your glories, and he gave various describer, bhūta-bhāvana bhūteśa, deva-deva jagat-pate

So five epithets are used by Arjuna to glorify Krishna 

  1. puruṣottama
  2. bhūta-bhāvana – You are source of all living being, which Krishna Himself has talked in BG several times.
  3. bhūteśa – You are the controller of all living beings.
  4. deva-deva– You are God of all gods.
  5. jagat-pate – Master of the universe

So You are best among all persons and not only best among all persons actually You are source of all persons not just source of all persons but actually controller of all persons and there may be many controllers who have power to control the various gods but You are God of all gods even the gods worship You seek your help so You are deva deva, and then You are Jagat-Pate, You are master of the whole universe.

End of transcription.