Results 31 to 40 of about 1,191 (137)
Optimal bounds for Seiffert-like elliptic integral mean by harmonic, geometric, and arithmetic means
Journal of Inequalities and Applications, 2022 In this article, we present the optimal bounds for a special elliptic integral mean in terms of the harmonic combinations of harmonic, geometric, and arithmetic means.
Fan Zhang, Weimao Qian, Hui Zuo Xu
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On certain conjectures for the two Seiffert means [PDF]
Journal of Mathematical Inequalities, 2019 Summary: In [Rad Hrvat. Akad. Znan. Umjet., Mat. Znan. 523(19), 129--142 (2015; Zbl 1332.26064)] \textit{L. Vukšić}, by using the asymptotic expansion method, conjectured certain inequalities related to the first and second Seiffert means. In this paper, we prove certain conjectures given by Vukšić [loc. cit.].
Chen, Chao-Ping, Sándor, József
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New Masjed Jamei–Type Inequalities for Inverse Trigonometric and Inverse Hyperbolic Functions
Mathematics, 2022 In this paper, we establish two new inequalities of the Masjed Jamei type for inverse trigonometric and inverse hyperbolic functions and apply them to obtain some refinement and extension of Mitrinović–Adamović and Lazarević inequalities.
Ling Zhu
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Sharp bounds for Seiffert means in terms of Lehmer means [PDF]
Journal of Mathematical Inequalities, 2010 In this paper, we establish two sharp inequalities as follows: P(a,b) > L− 6 (a,b) and T (a,b) 0 with a = b . Here, Lr(a,b) , P(a,b) and T (a,b) are the Lehmer, first and second Seiffert means of a and b , respectively. Mathematics subject classification (2010): 26E60.
Miao-Kun Wang, Ye-Fang Qiu, Yuming Chu
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Abstract and Applied Analysis, 2013 Optimal bounds for the weighted geometric mean of the first Seiffert and logarithmic means by weighted generalized Heronian mean are proved. We answer the question: for what the greatest value and the least value such that the double inequality ...
Ladislav Matejíčka
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Journal of Inequalities and Applications, 2017 In the article, we prove that the double inequality α L ( a , b ) + ( 1 − α ) T ( a , b ) < NS ( a , b ) < β L ( a , b ) + ( 1 − β ) T ( a , b ) $$ \alpha L(a,b)+(1-\alpha)T(a,b)< \mathit{NS}(a,b)< \beta L(a,b)+(1-\beta)T(a,b) $$ holds for a , b > 0 $a,b>
Jing-Jing Chen +2 more
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Improvements of bounds for the Sándor–Yang means
Journal of Inequalities and Applications, 2019 In the article, we provide new bounds for two Sándor–Yang means in terms of the arithmetic and contraharmonic means. Our results are the improvements of the previously known results.
Wei-Mao Qian, Hui-Zuo Xu, Yu-Ming Chu
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On the Brink, a Population of Hedgehogs in Central London. [PDF]
Ecol EvolA small breeding population of hedgehogs survives in central London's Regent's Park (166 ha). A 10‐year survey (2014–2023) revealed a decline from an average of 28 individuals to just six in spring 2023, driven by low breeding success and high mortality.
Gurnell J, Reeve N, Cross B.
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On a class of new means including the generalized Schwab-Borchardt mean
Journal of Inequalities and Applications, 2017 The so-called Schwab-Borchardt mean plays an important role in the theory of (bivariate) means. It includes a lot of standard means, such as the logarithmic mean, the first and second Seiffert means and the Neuman-Sándor mean.
Mustapha Raïssouli, József Sándor
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Refinements of bounds for the first and second Seiffert means [PDF]
Journal of Mathematical Inequalities, 2013 In this paper, we find the greatest values α , λ and the least values β , μ such that the double inequalities α(5A(a,b)/6 + H(a,b)/6 )+( 1 − α)A5/6(a,b)H1/6(a,b) 0 with ab .H ereA(a,b), H(a,b), Q(a,b), P(a,b) and T(a,b) denote the arithmetic, harmonic, quadratic, first Seiffert and second Seiffert means of two positive numbers a and b, respectively.
Yuming Chu, Baoyu Liu, Miao-Kun Wang
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