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On Hermite-Hadamard type inequalities of coordinated (p1,h1)-(p2,h2)-convex functions via Katugampola fractional integrals

Raees Muhammad (Department of Mathematics, School of Natural Sciences, National University of Sciences and Technology, Islamabad, Pakistan)
Anwar Matloob (Department of Mathematics, School of Natural Sciences, National University of Sciences and Technology, Islamabad, Pakistan)

The present article establishes some results on Hermite-Hadamard type inequalities of coordinated (p1,h1)-(p2,h2)-convex functions by using Katugampola fractional integrals. The results are in generalized form and deduced for various special cases like coordinated pq-convex functions, coordinated (p,s)-convex functions, coordinated s-convex functions and classical case of coordinated convex functions.

Keywords: Coordinated convex functions, Hemite-Hadamard type inequalities, Katugampola fractional integrals