New trapezium type inequalities of coordinated distance-disturbed convex type functions of higher orders via extended Katugampola fractional integrals.

In this paper we establish some new results on trapezium type inequalities of coordinated distance-disturbed (ℓ 1 , h 1) – (ℓ 2 , h 2) -convex functions of higher orders (σ 1 , σ 2) by using the Katugampola (k 1 , k 2) -fractional integrals. As special cases of our general results, we recapture some earlier proved results. [ABSTRACT FROM AUTHOR]