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NEW WEIGHTED OSTROWSKI-GRUSS-CEBYSEV TYPE INEQUALITIES

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초록

In this paper, by introducing parameter r > 1, new weighted Ostrowski-Gruss-Cebysev type inequalities for 1/p + 1/q = 1 − 1/r are established.

Abstract

In this paper, by introducing parameter r > 1, new weighted Ostrowski-Gruss-Cebysev type inequalities for 1/p + 1/q = 1 − 1/r are established.

참고문헌 (10)

  1. P. Cerone, "On weighted three point quadrature rules", ANZIAM JOURNAL, 42, pp.C340~C361 (2000)
  2. S. S. Dragomir, "A new generalization of Ostrowski’s integral inequality for mappings whose derivatives are bounded and applications in numerical integration and for special means", Applied Mathematics Letters, 13(1), pp.19~25 (2000)
  3. S. S. Dragomia, "A weighted version of Ostrowski inequality for mappings of H"Nolder type and applications in numerical analysis", Bulletin Mathématique de la Société des Sciences Mathématiques de Roumanie (N.S.), 42(4), pp.301~314 (1999)
  4. W. J. Liu, "Several new perturbed Ostrowski-like type inequalities", Journal of Inequalities in Pure and Applied Mathematics, 8(4), pp.6~ (2007)
  5. Wen-jun Liu, "New Ostrowski type inequalities involving two functions", Journal of Applied Mathematics and Informatics, 26(1-2), pp.291~297 (2008), 한국전산응용수학회
  6. D. S. Mitrinovic, "Classical and New Inequalities in Analysis", Kluwer Academic Publishers (1993)
  7. D. S. Mitrinovic, "Inequalities for Functions and Their Integrals and Derivatives" (1994), Kluwer Academic Publishers
  8. B. G. Pachpatte, "A note on Ostrowski like inequalities", Journal of Inequalities in Pure and Applied Mathematics, 6(4), pp.4~ (2005)
  9. B. G. Pachpatte, "On Ostrowski-Gr"Nuss- ˇCebyˇev type inequalities for functions whose modulus of derivatives are convex", Journal of Inequalities in Pure and Applied Mathematics, 6(4), pp.15~ (2005)
  10. A. Rafiq, "Weighted Ostrowski type inequality for differentiable mappings whose first derivatives belong to Lp(a, b)", General Mathematics, 14(3), pp.91~102 (2006)

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