"Sincerest apologies" means offering genuine and heartfelt remorse for something wrong you have done or a mistake you have made. It shows genuine regret and a desire to make amends. Full definition
The author offers sincere apologies to anyone harmed by this report. (treehugger.com)
* To the best of my knowledge no actual books exist with these titles but if one somehow does, I offer my most sincere apologies in advance. (sewhitebooks.com)
The book is filled with real - life examples of broken human relationships that were healed through sincere apologies in an appropriate «language». (bettermarriages.org)