die Linderung
relief
The reduction or easing of pain, suffering, worries, or other negative conditions.
Die kalte Kompresse verschaffte ihm eine sofortige Linderung der Schwellung.
The cold compress gave him immediate relief from the swelling.

relief
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relief
The reduction or easing of pain, suffering, worries, or other negative conditions.
Die kalte Kompresse verschaffte ihm eine sofortige Linderung der Schwellung.
The cold compress gave him immediate relief from the swelling.

'Linderung' (relief) is the noun corresponding to the verb 'lindern' (to relieve, to ease, to make something more bearable). The ending '-ung' turns the verb into a feminine noun that describes the process or result of the action.
Die Salbe soll die Schmerzen lindern.
The ointment is supposed to relieve the pain.
The word is often used with verbs that express bringing about or experiencing relief. Typical combinations are 'Linderung verschaffen' (to provide relief), 'Linderung bringen' (to bring relief), or 'Linderung erfahren' (to experience relief).
Die Medikamente brachten endlich die erhoffte Linderung.
The medication finally brought the hoped-for relief.
To say what is being eased, German usually uses the genitive. Alternatively, you can also use the preposition 'von' with the dative.
Der Arzt sprach über die Linderung der Symptome.
The doctor talked about the relief of the symptoms.
improvement / recovery
'die Besserung' and 'die Linderung' can both mean that a negative condition is no longer as bad. 'Besserung' means that the overall condition improves, especially in the case of illness. 'Linderung' mainly means that pain, worries, or suffering become less intense. The cause may still be there. Learners can confuse the words because both describe an improvement. If it is about the whole condition, 'Besserung' fits; if it is about less pain or less strain, 'Linderung' fits better.

Die Salbe bringt Herr Yilmaz eine leichte Linderung der Schmerzen.
The ointment brings Mr. Yilmaz slight relief from the pain.
Mein Freund hofft nach der neuen Behandlung auf schnelle Besserung.
After the new treatment, my friend is hoping for a quick recovery.