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Some New Inequalities of Hermite-Hadamard's Type

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In this paper, we establish several new inequalities for some differantiable mappings that are connected with the celebrated Hermite-Hadamard integral inequality. Some applications for special means of real numbers are also provided.

Abstract

In this paper, we establish several new inequalities for some differantiable mappings that are connected with the celebrated Hermite-Hadamard integral inequality. Some applications for special means of real numbers are also provided.

참고문헌 (6)

  1. S. S. Dragomir, "Two inequalities for differentiable mappings and applications to special means of real numbers and trapezoidal formula", Appl. Math. Lett., 11(5), pp.91~95 (1998)
  2. J. L. W. V. Jensen, "On konvexe funktioner og uligheder mellem middlvaerdier", Nyt. Tidsskr. Math. B., 16, pp.49~69 (1905)
  3. C. E. M. Pearce, "Inequalities for differentiable mappings with application to special means and quadrature formulae", Appl. Math. Lett., 13(2), pp.51~55 (2000)
  4. U. S. Kırmacı, "Inequalities for differentiable mappings and applications to special means of real numbers and to midpoint formula", Appl. Math. Comp., 147, pp.137~146 (2004)
  5. U. S. Kırmacı, "On some inequalities for differentiable mappings and applications to special means of real numbers and to midpoint formula", Appl. Math. Comp., 153, pp.361~368 (2004)
  6. J. Pečarić, "Convex functions, partial ordering and statistical applications" (1991), Academic Press

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