What is the relationship between frequency and wave length mathematically?

The greater the energy, the larger the frequency and the shorter (smaller) the wavelength. Given the relationship between wavelength and frequency — the higher the frequency, the shorter the wavelength — it follows that short wavelengths are more energetic than long wavelengths.

Velocity =frequency x wavelength 
:. Frequency = Velocity/(wavelength)
This implies that, the higher the frequency, the lower the wavelength and vice versa