论文信息 - Simpson's Type Inequalities for Co-Ordinated Convex Functions on Quantum Calculus

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

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.

Sabir Hussain | Muhammad Amer Latif | Jun-De Wu | Humaira Kalsoom

[1] Muhammad Aslam Noor,et al. Some quantum estimates for Hermite-Hadamard inequalities , 2015, Appl. Math. Comput..

[2] Mehmet Zeki Sarikaya,et al. On new inequalities of Simpson's type for s-convex functions , 2010, Comput. Math. Appl..

[3] Jessada Tariboon,et al. Quantum integral inequalities for convex functions , 2015 .

[4] H. Gauchman,et al. Integral inequalities in q-calculus , 2004 .

[5] Muhammad Amer Latif,et al. Some q-analogues of Hermite–Hadamard inequality of functions of two variables on finite rectangles in the plane , 2017 .

[6] Ravi P. Agarwal,et al. On Simpson's inequality and applications. , 2000 .

[7] Jessada Tariboon,et al. Quantum integral inequalities on finite intervals , 2014 .

[8] Jessada Tariboon,et al. Quantum calculus on finite intervals and applications to impulsive difference equations , 2013 .

[9] Muhammad Aslam Noor,et al. Some quantum integral inequalities via preinvex functions , 2015, Appl. Math. Comput..

[10] M. Tunc,et al. Simpson type quantum integral inequalities for convex functions , 2018 .

[11] Lech Maligranda,et al. Some remarks ons-convex functions , 1994 .