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A NOTE ON OSTROWSKI TYPE INEQUALITIES RELATED TO SOME s-CONVEX FUNCTIONS IN THE SECOND SENSE

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Some errors in literatures are pointed out and corrected. A generalization of Ostrowski type inequalities for functions whose derivatives in absolute value are s-convex in the second sense is established. Special cases are discussed.

Abstract

Some errors in literatures are pointed out and corrected. A generalization of Ostrowski type inequalities for functions whose derivatives in absolute value are s-convex in the second sense is established. Special cases are discussed.

참고문헌 (6)

  1. M. Alomari, "Ostrowski type inequalities for functions whose derivatives are s-convex in the second sense", Appl. Math. Lett, 23(1), pp.1071~1076 (2010)
  2. S. S. Dragomir, "Two inequalities for differentiable mappings and applications to special means of real numbers and to trapezoidal formula", Appl. Math. Lett, 11(5), pp.91~95 (1998)
  3. S. S. Dragomir, "A new generalization of Ostrowski integral inequality for mappings whose derivatives are bounded and applications in numerical integration and for special means", Appl. Math. Lett, 13(1), pp.19~25 (2000)
  4. H. Hudzik, "Some remarks on s-convex functions", Aequationes Math, 48(1), pp.100~111 (1994)
  5. U. S. Kirmaci, "Hadamard-type inequalities for s-convex functions", Appl. Math. Comput, 193(1), pp.26~35 (2007)
  6. C. E. M. Pearce, "Inequalities for differentiable mappings with applications to special means and quadrature formulae", Appl. Math. Lett, 13(2), pp.51~55 (2000)

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