Meanings of humorous deprecation in English

Harry looked at her, laughing and saying with a humorous deprecation, "Bessie's independent criticism!"

He waved his hand in humorous deprecation.

But now-He shrugged his shoulders in humorous deprecation of the state of things which he had himself done so much to produce.

In a black storm-cloud above a willow tree a bearded supernatural being, with hands spread in humorous deprecation, gazes down half pleased, half horrified.

But somehow his mind declined to concern itself with that just now, and with a half- humorous deprecation, he resumed his contemplation of his two Pollys.

"Pray don't destroy my faith in Mr. Hooker, General," said the President, in half-weary, half- humorous deprecation.