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02- Progress in Fractional Differentiation and Applications
An International Journal
               
 
 
 
 
 
 
 
 
 
 
 

Content
 

Volumes > Vol. 8 > No. 1

 
   

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

PP: 107-122
doi:10.18576/pfda/080107
Author(s)
Miguel Vivas-Cortez, Artion Kashuri, Jorge Eliecer Herna ́ndez Herna ́ndez,
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.

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