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    STUDIA MATHEMATICA - Issue no. 2 / 2018  
         
  Article:   OSTROWSKI TYPE FRACTIONAL INTEGRAL OPERATORS FOR GENERALIZED (r; g; s; m; φ)-PREINVEX FUNCTIONS.

Authors:  ARTION KASHURI, ROZANA LIKO.
 
       
         
  Abstract:  In the present paper, the notion of generalized (r; g; s; m; φ)-preinvex function is applied for establish some new generalizations of Ostrowski type inequalities via fractional integral operators. These results not only extend the results appeared in the literature ([38]) but also provide new estimates on these type. At the end, some applications to special means are given.

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

Keywords: Ostrowski'' type inequality, Hölder''s inequality, Minkowski''s inequality, power mean inequality, Riemann-Liouville fractional integral, fractional integral operator, s-convex function in the second sense, m-invex.
 
         
     
         
         
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