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Hermite-Hadamard type fractional integral inequalities for generalized (r; s, m, &)-preinvex functions

Journal Name:

  • European Journal of Pure and Applied Mathematics

Publication Year:

  • 2017

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Abstract (2. Language): 
In the present paper, a new class of generalized (r; s, m, y)-preinvex functions is introduced and some new integral inequalities for the left hand side of Gauss-Jacobi type quadrature formula involving generalized (r; s, m, y)-preinvex functions are given. Moreover, some generalizations of Hermite-Hadamard type inequalities for generalized (r; s, m, y)-preinvex functions via Riemann-Liouville fractional integrals are established. These results not only extend the results appeared in the literature (see [1], [2]), but also provide new estimates on these types.
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REFERENCES

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