Hermite-Hadamard-Type Inequalities for Co-ordinated Convex Mappings via Generalized Fractional Integrals

İngilizce (OpenAlex)

In this investigation, Hermite-Hadamard-type inequalities are acquired forco-ordinated convex functions using generalized fractional integrals. Theseintegrals include several well-known fractional operators, such as theRiemann-Liouville, Hadamard, and Katugampola fractional integrals. Thefindings of this study extend and generalize various inequalities from theexisting literature. Moreover, by choosing specific parameter values, theestablished inequalities reduce to known results as special cases. Inaddition to these generalizations, new inequalities are established. Todemonstrate the applicability of the results, examples are given, andgraphical representations are utilized to support their validity.