EN
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] 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] 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] 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] 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] 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] 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] 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] 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
Yayımlanma Tarihi
31 Mart 2021
Gönderilme Tarihi
27 Ekim 2020
Kabul Tarihi
25 Aralık 2020
Yayımlandığı Sayı
Yıl 2021 Cilt: 5 Sayı: 1
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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Axioms
https://doi.org/10.3390/axioms11080385Some new integral inequalities of the Simpson type for MT-convex functions
Advances in the Theory of Nonlinear Analysis and its Application
https://doi.org/10.31197/atnaa.1003964