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ESTIMATION OF DIFFERENCE FROM HÄOLDER'S INEQUALITY

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한국수학교육학회|2010.05|이론수학과 교직수학 (Theoretical Mathematics and Pedagogical Mathematics)|제17권 제2호|pp. 189-197

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참고문헌

키워드

HÄolder's inequalityconcave functionestimation of difference
주제분류수학

초록

We give an upper bound for the estimation of the di®erence between both sides of the well-known HÄolder's inequality. Moreover, an upper bound for the estimation of the difference of the integral form of HÄolder's inequality is also obtained. The results of this paper are natural generalizations and re¯nements of those of [2-4].

Abstract

We give an upper bound for the estimation of the di®erence between both sides of the well-known HÄolder's inequality. Moreover, an upper bound for the estimation of the difference of the integral form of HÄolder's inequality is also obtained. The results of this paper are natural generalizations and re¯nements of those of [2-4].

참고문헌 (6)

  1. E.F. Beckenbach, "Inequalities" (1961), Springer Verlag
  2. S. Izumino, "Ozeki's method on Holder's inequality", Math. Japon, 50, pp.41~551 (1999)
  3. S. Izumino, "On Ozeki's inequality", Math.Inequal. Appl, 4, pp.163~187 (2001)
  4. S. Izumino, "Difference derived from weighted Holder's inequality", Math.Inequal. Appl, 8, pp.337~345 (2005)
  5. D.S. Mitrinovic, "Classical and new inequalities in analysis" (1993), Kluwer Acad. Publ.
  6. N. Ozeki, "On the estimation of the inequalities by the maximum, or minimum values(in Japanese)", J. College Arts Sci. Chiba Univ, 5, pp.199~203 (1968)

관련 논문AI추천

ON REFINEMENTS OF HÖOLDER'S INEQUALITY II권언근, 배정은영남수학회 · East Asian Mathematical Journal2016 · 제32권 제1호More on reverse of Holder's integral inequalityBouharket Benaissa, Huseyin Budak강원경기수학회 · 한국수학논문집2020 · 제28권 제1호ON OPIAL INEQUALITIES INVOLVING HIGHER ORDER DERIVATIVESChang-Jian Zhao, Wing-Sum Cheung대한수학회 · 대한수학회보2012 · 제49권 제6호Generalized Hölder's inequality in Orlicz spacesA.A. MASTA, H. GUNAWAN, IFRONIKA, M. NUR장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2019 · 제22권 제1호On Two Dimensional q-Holder's InequalityWengui Yang경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2012 · 제52권 제4호Generalization of Hardy-Hilbert's Inequality and ApplicationsAziz Saglam, Huseyin Yildirim, Mehmet Zeki Sarikaya경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2010 · 제50권 제1호

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