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Ostrowski's Type Inequalities for (α,m)-Convex Functions

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In this paper, we establish new inequalities of Ostrowski’s type for functions whose derivatives in absolute value are (α,m)-convex .

Abstract

In this paper, we establish new inequalities of Ostrowski’s type for functions whose derivatives in absolute value are (α,m)-convex .

참고문헌 (9)

  1. "derivatives are s-convex in the second sense, RGMIA Res. Rep. Coll., 12(2009), Supplement, Article 15"[URL]
  2. "Hadamard type inequalities for m-convex and (α,m)-convex functions, J. Inequal. Pure & Appl. Math., 9(2008), Article 96"[URL]
  3. "Companion inequalities to Jensen's inequality for m-convex and (α,m)-convex functions, J. Inequal. Pure & Appl. Math., 7(2006), Article 194"[URL]
  4. "Os-trowski type inequalities for functions whose modulus of derivatives are con-vex and applications, RGMIA Res. Rep. Coll., 5(2)(2002), Article 1"[URL]
  5. S. S. Dragomir, "Inequalities of Hadamard's type for Lip-schitzian mappings and their applications", J. of Math. Anal. Appl., 245(2), pp.489~501 (2000)
  6. "Ostrowski type inequalities for functions whose derivatives are convex, Proceedings of the 4th International Conference on Modelling and Simulation, November 11-13, 2002, Victoria University, Melbourne, Australia, RGMIA Res. Rep. Coll., 5(2002), Supplement, Article 30"[URL]
  7. V. G. Miheşan, "A generalization of the convexity, Seminar on Functional Equations, Approx. and Convex" (1993), Cluj-Napoca
  8. , 2010
  9. G. Toader, "Some generalizations of the convexity", Proceedings of The Colloquium On Approximation and Optimization, pp.329~338 (1984)

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