Abstract We use wavelets to define the Kantorovich variant of q -Baskakov type operators, and for $$1\le p< \infty$$ 1 ≤ p < ∞ , we study $$L_{p}$$ L -approximation. Let $$\...

Purpose: The purpose of this paper is to introduce and study the BaskakovDurrmeyerStancu operators based on q-integers. Methods: First we use property of q-calculus to estimate moments of these operators. Also study some approximation properties, asymptotic formula including q-derivative and point-wise estimation for the operators L n,q . Results: We studied better error estimations for these o...