Results 31 to 40 of about 8,863 (173)
Optimal inequalities between Seiffert's mean and power means [PDF]
For the Seiffert mean \(P(x,y):=(x-y)/[4\arctan (\sqrt{x/y})-\pi ]\), the author proves that the evaluation \(A_{p}\leq P\leq A_{q}\) holds if and only if ...
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Sharp bounds for Seiffert means in terms of Lehmer means [PDF]
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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The Deep Diffuse Extragalactic Radio Sky at 1.75 GHz [PDF]
We present a study of diffuse extragalactic radio emission at $1.75\,$GHz from part of the ELAIS-S1 field using the Australia Telescope Compact Array. The resulting mosaic is $2.46\,$deg$^2$, with a roughly constant noise region of $0.61\,$deg$^2$ used ...
Norris, Ray P. +3 more
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On certain conjectures for the two Seiffert means [PDF]
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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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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New Masjed Jamei–Type Inequalities for Inverse Trigonometric and Inverse Hyperbolic Functions
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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The Planck-LFI instrument: analysis of the 1/f noise and implications for the scanning strategy [PDF]
We study the impact of the 1/f noise on the PLANCK Low Frequency Instrument (LFI) osbervations (Mandolesi et al 1998) and describe a simple method for removing striping effects from the maps for a number of different scanning stategies.
Banday, A. J. +9 more
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Seiffert means, asymptotic expansions and inequalities
In this paper we study inequalities of the form $(1-\mu) M_1(s, t)+\mu M_3(s, t) \leq M_2(s, t)\leq(1-\nu)M_1(s, t)+\nu M_3(s, t)$, which cover some classical bivariate means and Seiffert means. Using techniques of asymptotic expansions detailed analysis was made and the method for obtaining optimal parameters $\mu$ and $\nu$ was described.
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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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The first Seiffert mean is strictly ( G , A ) -super-stabilizable [PDF]
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Anisiu, Mira C, Anisiu, Valeriu
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