Generalizations of Hermite-Hadamard and Ostrowski type inequalities for MTm-preinvex functions

• Kashuri, Artion ^[1] ; Liko, Rozana ^[1]
  1. [1] University Ismail Qemali.
• Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 36, Nº. 1, 2017, págs. 45-80
• Idioma: inglés
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• Resumen

  • In the present paper, the notion of MTm-preinvex function is introduced and some new integral inequalities involving MTm-preinvex functions along with beta function are given. Moreover, some generalizations of Hermite-Hadamard and Ostrowski type inequalities for MTm-preinvexfunctions via classical integrals and Riemann-Liouville fractional integrals are established. These results not only extends the results appeared in the literature (see [10], [11], [12]), but also provide new estimates on these types.