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    STUDIA MATHEMATICA - Issue no. 4 / 2021  
         
  Article:   FRACTIONAL HADAMARD AND FEJÉR-HADAMARD INEQUALITIES FOR EXPONENTIALLY m-CONVEX FUNCTION.

Authors:  SAJID MEHMOOD, GHULAM FARID.
 
       
         
  Abstract:  
DOI: 10.24193/subbmath. 2021.4.03

Published Online: 2021-12-14
Published Print: 2021-12-30
pp. 629-640

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Fractional integral operators play a vital role in the advancement of mathematical inequalities. The aim of this paper is to present the Hadamard and the Fejér-Hadamard inequalities for generalized fractional integral operators containing Mittag-Leffler function. Exponentially m-convexity is utilized to establish these inequalities. By fixing parameters involved in the Mittag-Leffler function Hadamard and the Fejér-Hadamard inequalities for various well known fractional integral operators can be obtained.

Keywords: Convex functions, exponentially m-convex functions, Hadamard inequality, Fejér-Hadamard inequality, fractional integral operators, Mittag-Leffler function.

Mathematics Subject Classification (2010): 26B25, 26A33, 26A51, 33E12.
 
         
     
         
         
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