This example recipe allows you to craft a diamond axe named "Battle Axe" with sharpness X.

Ingredients are a diamond sword with at most 40 uses and a plain old diamond.

{
    "type": "crafting_shapeless",
    "ingredients": [
        {
            "item": "minecraft:diamond_sword",
            "data": {
                "require": {
                    "Damage": "$..40"
                }
            }
        },
        { "item": "minecraft:diamond" }
    ],
    "result": {
        "item": "minecraft:diamond_axe",
        "data": {
            "display": {
                "Name": "{\"text\":\"Battle Axe\"}"
            },
            "Enchantments": [
                {
                    "id": "minecraft:sharpness",
                    "lvl": 10
                }
            ]
        }
    }
}