Kermausuor, S. (2019) Generalized Ostrowski-Type Inequalities Involving Second Derivatives via the Katugampola Fractional Integrals. Journal of Nonlinear Sciences and Applications, 12, 509-522. https://doi.org/10.22436/jnsa.012.08.02

has been cited by the following article:

• TITLE: Generalized Hermite-Hadamard Type Inequalities Related to Katugampola Fractional Integrals

  AUTHORS: Hao Wang

  KEYWORDS: p-Convex Mappings, Katugampola Fractional Integrals, Hermite-Hadamard’s Inequalities

  JOURNAL NAME: Open Access Library Journal, Vol.7 No.9, September 29, 2020

  ABSTRACT: In this paper, we have established a new identity related to Katugampola fractional integrals which generalize the results given by Topul et al. and Sarikaya and Budak. To obtain our main results, we assume that the absolute value of the derivative of the considered function φ' is p-convex. We derive several parameterized generalized Hermite-Hadamard inequalities by using the obtained equation. More new inequalities can be presented by taking special parameter values for λ, μ and p. Also, we provide two examples to illustrate our results.