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    STUDIA MATHEMATICA - Issue no. 1 / 2019  
         
  Article:   ON SOME NEW INTEGRAL INEQUALITIES CONCERNING TWICE DIFFERENTIABLE GENERALIZED RELATIVE SEMI-(m; h)-PREINVEX MAPPINGS.

Authors:  ARTION KASHURI, TINGSONG DU, ROZANA LIKO.
 
       
         
  Abstract:  The authors rst present some integral inequalities for Gauss-Jacobi
type quadrature formula involving generalized relative semi-(m; h)-preinvex mappings.
And then, a new identity concerning twice di erentiable mappings de ned
on m-invex set is derived. By using the notion of generalized relative semi-(m; h)-preinvexity and the obtained identity as an auxiliary result, some new estimates with respect to Hermite-Hadamard type inequalities via conformable fractional integrals are established. These new presented inequalities are also applied to construct inequalities for special means.

Mathematics Subject Classi fication (2010): 26A51, 26A33, 26D07, 26D10, 26D15.
Keywords:
Hermite-Hadamard type inequality, fractional integrals, m-invex.
 
         
     
         
         
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