Results 31 to 40 of about 8,863 (173)

Optimal inequalities between Seiffert's mean and power means [PDF]

open access: yesMathematical Inequalities & Applications, 2004
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 ...
openaire   +2 more sources

Sharp bounds for Seiffert means in terms of Lehmer means [PDF]

open access: yesJournal 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
openaire   +1 more source

The Deep Diffuse Extragalactic Radio Sky at 1.75 GHz [PDF]

open access: yes, 2014
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
core   +1 more source

On certain conjectures for the two Seiffert means [PDF]

open access: yesJournal 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
openaire   +1 more source

Sharp Bounds for the Weighted Geometric Mean of the First Seiffert and Logarithmic Means in terms of Weighted Generalized Heronian Mean

open access: yesAbstract 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
doaj   +1 more source

New Masjed Jamei–Type Inequalities for Inverse Trigonometric and Inverse Hyperbolic Functions

open access: yesMathematics, 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
doaj   +1 more source

The Planck-LFI instrument: analysis of the 1/f noise and implications for the scanning strategy [PDF]

open access: yes, 1999
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
core   +2 more sources

Seiffert means, asymptotic expansions and inequalities

open access: yesRad Hrvatske akademije znanosti i umjetnosti. Razred za matematičke, fizičke i kemijske znanosti. Matematičke znanosti, 2015
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.
openaire   +4 more sources

Optimal bounds for Neuman-Sándor mean in terms of the convex combination of the logarithmic and the second Seiffert means

open access: yesJournal 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
doaj   +1 more source

The first Seiffert mean is strictly ( G , A ) -super-stabilizable [PDF]

open access: yesJournal of Inequalities and Applications, 2014
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Anisiu, Mira C, Anisiu, Valeriu
openaire   +1 more source

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