Abstract
The paper deals with quasi-convex functions, Katugampola fractional integrals and Hermite-Hadamard type integral inequalities. The main idea of this paper is to present new Hermite-Hadamard type inequalities for quasi-convex functions using Katugampola fractional integrals, Holder inequality and the identities in the literature.
Highlights
The main idea of this paper is to present new Hermite-Hadamard type inequalities for quasi-convex functions using Katugampola fractional integrals, Holder inequality and the identities in the literature
A function f : I ⊆ R → R is said to be convex if the inequality f (λu + (1 − λ) v) ≤ λf (u) + (1 − λ) f (v) holds for all u, v ∈ I and λ ∈ [0, 1]
For further results related to Hermite-Hadamard type inequalities involving fractional integrals on can see
Summary
A function f : I ⊆ R → R is said to be convex if the inequality f (λu + (1 − λ) v) ≤ λf (u) + (1 − λ) f (v) holds for all u, v ∈ I and λ ∈ [0, 1]. The paper deals with quasi-convex functions, Katugampola fractional integrals and HermiteHadamard type integral inequalities. The main idea of this paper is to present new Hermite-Hadamard type inequalities for quasi-convex functions using Katugampola fractional integrals, Holder inequality and the identities in the literature.
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