Kyungpook Mathematical Journal

  • 제52권3호
  • /
  • Pages.307-317
  • /
  • 2012
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  • 1225-6951(pISSN)
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  • 0454-8124(eISSN)
경북대학교 자연과학대학 수학과 (Department of Mathematics, Kyungpook National University)
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On Generalizations of the Hadamard Inequality for (α, m)-Convex Functions

  • Set, Erhan (Department of Mathematics, Faculty of Science and Arts, Duzce University) ;
  • Sardari, Maryam (Institute for Advanced Studies in Basic Sciences) ;
  • Ozdemir, Muhamet Emin (Ataturk University, K. K. Education Faculty, Department of Mathematics) ;
  • Rooin, Jamal (Institute for Advanced Studies in Basic Sciences)
  • 투고 : 2010.03.10
  • 심사 : 2011.09.23
  • 발행 : 2012.09.23
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초록

In this paper we establish several Hadamard-type integral inequalities for (${\alpha}$, m)-convex functions.

키워드

참고문헌

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피인용 문헌

  1. Properties and Riemann-Liouville fractional Hermite-Hadamard inequalities for the generalized ( α , m ) $(\alpha,m)$ -preinvex functions vol.2016, pp.1, 2016, https://doi.org/10.1186/s13660-016-1251-5
  2. Hermite–Hadamard type integral inequalities for differentiable m-preinvex and (α,m)-preinvex functions vol.23, pp.2, 2015, https://doi.org/10.1016/j.joems.2014.06.006