Translation

• to progress (or increase, change etc) day by day
• more (or better etc) with each passing day

Synonyms

• 慢慢, 日益, 日趋, 浸, 渐, 渐次, 渐渐, 缓缓地, 逐年, 逐日, 逐月, 逐步, 逐渐, 逐级

Examples

• 天气日渐变差。
  The weather was getting worse and worse.
• 天日渐回暖。
  It becomes warmer day after day.