〜なりに・〜なりの
in one's own way, as best one can
Noun / Plain form + なりに · なりの + Noun
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なりに means "in a way that fits who or what someone is", accepting their limits: 私なりに、一生懸命頑張った, "I tried my best, in my own way". It's modest: maybe not perfect, but sincere.
Before a noun, it's なりの: 子どもには子どもなりの考えがある, "children have their own way of thinking". The pattern "X には X なりの" is common: 安い店には安い店なりの良さがある, "cheap places have their own merits".
It often defends someone's effort or view: 彼なりに考えた結果だろう, "he must have thought about it in his own way".
Compare らしく, "like a proper X should", which judges against an ideal. なりに accepts the person as they are.
Examples
私なりに、一生懸命頑張った。
I tried my best, in my own way.
子どもには子どもなりの考えがある。
Children have their own way of thinking.
彼なりに考えた結果だろう。
He must have thought it over in his own way.
安い店には安い店なりの良さがある。
Cheap places have their own good points.
自分なりに工夫してみた。
I tried working out my own way of doing it.