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INF-SUP METHOD FOR ESTABLISHING INEQUALITIES

WAN-LAN WANG|QIUYAN ZHANG|JIN-YAN MIAO
장전수학회 (Jangjeon Mathematical Society)|2022.10|Advanced Studies in Contemporary Mathematics|제32권 제4호|pp. 495-505

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참고문헌

키워드

Infimuminversesupremumnew inequality
주제분류수학

초록

This paper systematically summarizes the inf-sup method for establishing inequalities. With different results and specific techniques, we not only use this method to establish the geometric-arithmetic mean inequality, but also establish the new r-th mean inverses.

Abstract

This paper systematically summarizes the inf-sup method for establishing inequalities. With different results and specific techniques, we not only use this method to establish the geometric-arithmetic mean inequality, but also establish the new r-th mean inverses.

참고문헌 (10)

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  6. W.-l. Wang, "Comments and proofs for two wellknown inequalities", J. Chengdu Univ.(Nat. Sci. Ed.), 34(4), pp.354~356 (2015)
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  8. J.P. D’Angelo, "Mathematical Thinking: Problem-Solving and Proofs" (2000), Prentice-Hall, Inc
  9. W.-l. Wang, "Some Generalizations for Inequalities of Hua-Wang Type", J. Math. Res. Exp, 22(2), pp.575~582 (2002)
  10. J.-C. Kuang, "Applied Inequalities" (2021), Shandong Science and Technology Press

관련 논문AI추천

Majorized proof of arithmetic-geometric-harmonic means inequalityHUAN-NAN SHI장전수학회 · Advanced Studies in Contemporary Mathematics2016 · 제26권 제4호A simple proof strengthening and extension of inequalitiesK. M. Nagaraja, S. Padmanabhan, V. Lokesha장전수학회 · Advanced Studies in Contemporary Mathematics2008 · 제17권 제1호A note on the inequality of meansJ. Sándor장전수학회 · Advanced Studies in Contemporary Mathematics2014 · 제24권 제2호THE LOG-CONVEXITY OF ANOTHER CLASS OF ONE-PARAMETER MEANS AND ITS APPLICATIONSZhen-Hang Yang대한수학회 · 대한수학회보2012 · 제49권 제1호Schur convexity of $L$-conjugate means and its applicationsChun-Ru Fu, Dong-Sheng Wang, HUAN-NAN SHI대한수학회 · 대한수학회지2023 · 제60권 제3호Some inequalities for bivariate meansHongxia Du대한수학회 · 대한수학회논문집2009 · 제24권 제4호

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