Simpson’s Type Inequalities for Co-Ordinated Convex Functions on Quantum Calculus

Abstract

In the present paper, we aim to prove a new lemma and quantum Simpson’s type inequalities for functions of two variables having convexity on co-ordinates over [ α , β ] × [ ψ , ϕ ] . Moreover, our deduction introduce new direction as well as validate the previous results.

Keywords

• quantum calculus
• simpson’s type inequality
• quantum simpson’s type inequality on co-ordinates
• <i>q</i>₁<i>q</i>₂-partial derivatives
• <i>q</i>₁<i>q</i>₂–Hölder’s inequality
• co-ordinated convexity