Preheat oven to 400°F with a 10 inch cast iron skillet inside.
In a large bowl, whisk cornmeal, flour, baking powder, baking soda, sugar, and salt.
In a small bowl, whisk buttermilk, eggs, and melted butter until smooth.
Add wet ingredients to dry and stir until combined. Fold in jalapeños and cheese.
Remove skillet from oven, add butter to coat, then pour in batter.
Bake 22–25 minutes until golden brown. Brush with honey if desired. Serve warm.