Araştırma Makalesi

Geometric interpretations and reversed versions of Young's integral inequality

Cilt: 5 Sayı: 1 31 Mart 2021
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Geometric interpretations and reversed versions of Young's integral inequality

Öz

The authors retrospect Young's integral inequality and its geometric interpretation, recall a reversed version of Young's integral inequality, present a geometric interpretation of the reversed version of Young's integral inequality, and conclude a new reversed version of Young's integral inequality. The authors retrospect Young's integral inequality and its geometric interpretation, recall a reversed version of Young's integral inequality, present a geometric interpretation of the reversed version of Young's integral inequality, and conclude a new reversed version of Young's integral inequality.                                                                                                                                                                                                                .

Anahtar Kelimeler

Kaynakça

  1. [1] D. R. Anderson, Young’s integral inequality on time scales revisited, J. Inequal. Pure Appl. Math. 8 (2007), no. 3, Art. 64; http://www.emis.de/journals/JIPAM/ article876.html.
  2. [2] R. P. Boas Jr. and M. B. Marcus, Generalizations of Young’s inequality, J. Math. Anal. Appl. 46 (1974), no. 1, 36–40; https://doi.org/10.1016/0022-247X(74)90279-0.
  3. [3] R. P. Boas Jr. and M. B. Marcus, Inequalities involving a function and its inverse, SIAM J.Math. Anal. 4 (1973), 585–591; https://doi.org/10.1137/0504051.
  4. [4] R. Cooper, Notes on certain inequalities: (1); Generalization of an inequality of W. H.Young, J. London Math. Soc. 2 (1927), no. 1, 17–21;https://doi.org/10.1112/jlms/s1-2.1.17.
  5. [5] R. Cooper, Notes on certain inequalities: II, J. London Math. Soc. 2 (1927), no. 3, 159–163; https://doi.org/10.1112/jlms/s1-2.3.159.
  6. [6] F. Cunningham, Jr. and N. Grossman, On Young’s inequality, Amer. Math. Monthly 78 (1971), no. 7, 781–783; https://doi.org/10.2307/2318018.
  7. [7] J. B. Diaz and F. T. Metcalf, An analytic proof of Young’s inequality, Amer. Math. Monthly 77 (1970), no. 6, 603–609;https://doi.org/10.2307/2316736.
  8. [8] A. Hoorfar and F. Qi, A new refinement of Young’s inequality, Math. Inequal. Appl. 11 (2008), no. 4, 689–692; https://doi.org/10.7153/mia-11-58.

Ayrıntılar

Birincil Dil

İngilizce

Konular

Matematik

Bölüm

Araştırma Makalesi

Yazarlar

Aying Wan Bu kişi benim
China

Yayımlanma Tarihi

31 Mart 2021

Gönderilme Tarihi

27 Ekim 2020

Kabul Tarihi

25 Aralık 2020

Yayımlandığı Sayı

Yıl 2021 Cilt: 5 Sayı: 1

Kaynak Göster

APA
Qi, F., & Wan, A. (2021). Geometric interpretations and reversed versions of Young’s integral inequality. Advances in the Theory of Nonlinear Analysis and its Application, 5(1), 1-6. https://doi.org/10.31197/atnaa.817804
AMA
1.Qi F, Wan A. Geometric interpretations and reversed versions of Young’s integral inequality. ATNAA. 2021;5(1):1-6. doi:10.31197/atnaa.817804
Chicago
Qi, Feng, ve Aying Wan. 2021. “Geometric interpretations and reversed versions of Young’s integral inequality”. Advances in the Theory of Nonlinear Analysis and its Application 5 (1): 1-6. https://doi.org/10.31197/atnaa.817804.
EndNote
Qi F, Wan A (01 Mart 2021) Geometric interpretations and reversed versions of Young’s integral inequality. Advances in the Theory of Nonlinear Analysis and its Application 5 1 1–6.
IEEE
[1]F. Qi ve A. Wan, “Geometric interpretations and reversed versions of Young’s integral inequality”, ATNAA, c. 5, sy 1, ss. 1–6, Mar. 2021, doi: 10.31197/atnaa.817804.
ISNAD
Qi, Feng - Wan, Aying. “Geometric interpretations and reversed versions of Young’s integral inequality”. Advances in the Theory of Nonlinear Analysis and its Application 5/1 (01 Mart 2021): 1-6. https://doi.org/10.31197/atnaa.817804.
JAMA
1.Qi F, Wan A. Geometric interpretations and reversed versions of Young’s integral inequality. ATNAA. 2021;5:1–6.
MLA
Qi, Feng, ve Aying Wan. “Geometric interpretations and reversed versions of Young’s integral inequality”. Advances in the Theory of Nonlinear Analysis and its Application, c. 5, sy 1, Mart 2021, ss. 1-6, doi:10.31197/atnaa.817804.
Vancouver
1.Feng Qi, Aying Wan. Geometric interpretations and reversed versions of Young’s integral inequality. ATNAA. 01 Mart 2021;5(1):1-6. doi:10.31197/atnaa.817804

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