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    STUDIA MATHEMATICA - Issue no. 1 / 2022  
         
  Article:   HERMITE-HADAMARD TYPE INEQUALITIES FOR F-CONVEX FUNCTIONS INVOLVING GENERALIZED FRACTIONAL INTEGRALS.

Authors:  HÜSEYIN BUDAK, MUHAMMAD AAMIR ALI, ARTION KASHURI.
 
       
         
  Abstract:  
DOI: 10.24193/subbmath.2022.1.11

Published Online: 2022-03-10
Published Print: 2022-03-31
pp. 151-166

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In this paper, we firstly summarize some properties of the family F and F-convex functions which are defined by B. Samet. Utilizing generalized fractional integrals new Hermite-Hadamard type inequalities for F-convex functions have been provided. Some results given earlier works are also as special cases of our results.

Keywords: Hermite{Hadamard inequality, F-convex, general fractional integral.

Mathematics Subject Classification (2010): 26A51, 26A33, 26D07, 26D10, 26D15.
 
         
     
         
         
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