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New inequalities of Ostrowski and Trapezoid type for n-time differentiable functions

B. G. Pachpatte
대한수학회 (The Korean Mathematical Society)|2004.11|대한수학회보 (Bulletin of the KMS)|제41권 제4호|pp. 633-639

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Abstract

In this paper using integral representations for n-timedifferentiable mappings, we establish new generalizations ofcertain Ostrowski and Trapezoid type inequalities by using fairlyelementary analysis.

참고문헌 (5)

  1. "Some Ostrowski typeinequalities for n-time differentiable mappings and applications", 32(4), pp.697~712 (1999)
  2. "A newgeneralization of the Trapezoid formula for n-time differentiablemappings and applications", 33(4), pp.719~736 (2000)
  3. "Bounds on the deviation of a function from itsaverages", 42, pp.289~ (1992)
  4. "On Gruss type integralinequalities, 3 Art.", 11(1) (2002)
  5. "On multivariate Ostrowski typeinequalities", 58(4), pp.~4 (2002)

관련 논문AI추천

New bounds for the Ostrowski-like type inequalitiesQuoc Anh Ngo, Vu Nhat Huy대한수학회 · 대한수학회보2011 · 제48권 제1호On a New Ostrowski-Type Inequality and Related ResultsErhan Set, Mehmet Zeki Sarikaya경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2014 · 제54권 제4호Ostrowski's Type Inequalities for (α,m)-Convex FunctionsErhan Set, Havva KavurmacI, Muhamet Emin Ozdemir경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2010 · 제50권 제3호Some Inequalities for n-time Differentiable Mappings and ApplicationsDah-Yang Hwang경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2003 · 제43권 제3호A generalization of Ostrowski-type inequalityHuang Hong강원경기수학회 · 한국수학논문집2018 · 제26권 제4호New Generalizations of Ostrowski-Like Type Inequalities for Fractional IntegralsCetin Yildiz, Mehmet Zeki Sarikaya, Muhamet Emin Ozdemir경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2016 · 제56권 제1호

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