"Trapezium-type AB−fractional Integral Inequalities Using Generalized C" by Miguel Vivas-Cortez, Artion Kashuri et al.

Progress in Fractional Differentiation & Applications

Article Title

Trapezium-type AB−fractional Integral Inequalities Using Generalized Convex and Quasi φ−Convex Functions

Authors

Miguel Vivas-Cortez, Escuela de Ciencias F ́ısicas y Matema ́ticas,Facultad de Ciencias Exactas y Naturales, Pontificia Universidad Cato ́lica del Ecuador, Av. 12 de octubre 1076,Apartado: 17-01-2184, Quito, EcuadorFollow
Artion Kashuri, Department of Mathematics, Faculty of Technical Science, University Ismail Qemali, Vlora, AlbaniaFollow
Jorge Eliecer Herna ́ndez Herna ́ndez, Departamento de Te ́cnicas Cuantitativas, Decanato de Ciencias Econo ́micas y Empresariales, Universidad Centroccidental Lisandro Alvarado, ZP: 3001, Barquisimeto, VenezuelaFollow

Author Country (or Countries)

Ecuador

Abstract

The Hermite-Hadamard inequality and an identity for AB−fractional integrals are demonstrated in this study using generalized φ−convex functions. Some Hermite–Hadamard type inequalities are also established using the stated identity and the AB−fractional integral operator. A number of unique examples have been identified. The concept of generalized quasi φ−convex functions is also introduced, as well as some fractional inequalities.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/pfda/080107

Recommended Citation

Vivas-Cortez, Miguel; Kashuri, Artion; and Eliecer Herna ́ndez Herna ́ndez, Jorge (2022) "Trapezium-type AB−fractional Integral Inequalities Using Generalized Convex and Quasi φ−Convex Functions," Progress in Fractional Differentiation & Applications: Vol. 8: Iss. 1, Article 7.
DOI: http://dx.doi.org/10.18576/pfda/080107
Available at: https://digitalcommons.aaru.edu.jo/pfda/vol8/iss1/7

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