대한수학회논문집 (Communications of the Korean Mathematical Society)

  • 제29권1호
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  • Pages.51-63
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  • 2014
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  • 1225-1763(pISSN)
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  • 2234-3024(eISSN)
대한수학회 (Korean Mathematical Society)
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HERMITE-HADAMARD TYPE INEQUALITIES FOR GEOMETRIC-ARITHMETICALLY s-CONVEX FUNCTIONS

  • Hua, Ju (College of Mathematics Inner Mongolia University for Nationalities, Erenhot International College Inner Mongolia Normal University) ;
  • Xi, Bo-Yan (College of Mathematics Inner Mongolia University for Nationalities) ;
  • Qi, Feng (Department of Mathematics College of Science Tianjin Polytechnic University)
  • 투고 : 2013.03.12
  • 발행 : 2014.01.31
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초록

In the paper, several properties of geometric-arithmetically s-convex functions are provided, an integral identity in which the integrands are products of a function and a derivative is found, and then some inequalities of Hermite-Hadamard type for integrals whose integrands are products of a derivative and a function whose derivative is of the geometric-arithmetic s-convexity are established.

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참고문헌

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피인용 문헌

  1. Some Simpson type integral inequalities for functions whose third derivatives are ( α, m )- GA-convex functions vol.24, pp.2, 2016, https://doi.org/10.1016/j.joems.2015.05.009
  2. Hermite–Hadamard-Type Integral Inequalities for Functions Whose First Derivatives are Convex vol.67, pp.4, 2015, https://doi.org/10.1007/s11253-015-1103-3
  3. Some New Generalized Integral Inequalities for GA-s-Convex Functions via Hadamard Fractional Integrals vol.2016, 2016, https://doi.org/10.1155/2016/4361806
  4. Generalized Hermite-Hadamard-Fejer type inequalities for GA-convex functions via Fractional integral vol.2, pp.1, 2016, https://doi.org/10.7603/s40956-016-0004-2
  5. Hermite-Hadamard and Simpson Type Inequalities for DifferentiableP-GA-Functions vol.2014, 2014, https://doi.org/10.1155/2014/125439
  6. Some new inequalities of Simpson type for strongly $$\varvec{s}$$ s -convex functions vol.26, pp.5-6, 2015, https://doi.org/10.1007/s13370-014-0242-2