Results 11 to 20 of about 298 (100)
A Nice Separation of Some Seiffert-Type Means by Power Means [PDF]
International Journal of Mathematics and Mathematical Sciences, 2012 Seiffert has defined two well-known trigonometric means denoted by 𝒫 and 𝒯. In a similar way it was defined by Carlson the logarithmic mean ℒ as a hyperbolic mean. Neuman and Sándor completed the list of such means by another hyperbolic mean ℳ. There are
Iulia Costin, Gheorghe Toader
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Optimal bounds for Neuman-Sándor mean in terms of the geometric convex combination of two Seiffert means [PDF]
Journal of Inequalities and Applications, 2016 In this paper, we find the least value α and the greatest value β such that the double inequality P α ( a , b ) T 1 − α ( a , b ) < M ( a , b ) < P β ( a , b ) T 1 − β ( a , b ) $$P^{\alpha}(a,b)T^{1-\alpha}(a,b)< M(a,b)< P^{\beta}(a,b)T^{1-\beta}(a,b) $$
Hua-Ying Huang, Nan Wang, Bo-Yong Long
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Optimal bounds for two Sándor-type means in terms of power means [PDF]
Journal of Inequalities and Applications, 2016 In the article, we prove that the double inequalities M α ( a , b ) < S Q A ( a , b ) < M β ( a , b ) $M_{\alpha }(a,b)< S_{QA}(a,b)< M_{\beta}(a,b)$ and M λ ( a , b ) < S A Q ( a , b ) < M μ ( a , b ) $M_{\lambda }(a,b)< S_{AQ}(a,b)< M_{\mu}(a,b)$ hold ...
Tie-Hong Zhao +2 more
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Bounds for the Combinations of Neuman-Sándor, Arithmetic, and Second Seiffert Means in terms of Contraharmonic Mean [PDF]
Abstract and Applied Analysis, 2013 We give the greatest values r1, r2 and the least values s1, s2 in (1/2, 1) such that the double inequalities C(r1a+(1-r1)b,r1b+(1-r1)a)
Zai-Yin He +4 more
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A separation of some Seiffert-type means by power means [PDF]
Journal of Numerical Analysis and Approximation Theory, 2012 Consider the identric mean \(\mathcal{I}\), the logarithmic mean \(\mathcal{L,}\) two trigonometric means defined by H. J. Seiffert and denoted by \(\mathcal{P}\) and \(\mathcal{T,}\) and the hyperbolic mean \(\mathcal{M}\) defined by E.
Iulia Costin, Gheorghe Toader
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Sharpness of Wilker and Huygens type inequalities [PDF]
, 2012 We present an elementary proof of Wilker's inequality involving trigonometric functions, and establish sharp Wilker and Huygens type inequalities.
Chen, CP, Cheung, WS
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, 2013 We investigate the representation of homogeneous, symmetric means in the form M(x,y)=\frac{x-y}{2f((x-y)/(x+y))}. This allows for a new approach to comparing means. As an example, we provide optimal estimate of the form (1-\mu)min(x,y)+ \mu max(x,y)
Witkowski, Alfred
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Mesezene: Introducing a new Hungarian approach in fostering language skills to prepare reading in kindergarten [PDF]
, 2022 The Mesezene method is an alternative pedagogical initiative that builds upon the knowledge of speech and language therapy and special needs education.
Szűcs, Antal Mór
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A sequence of mappings associated with the Hermite-Hadamard inequalities and applications [PDF]
, 2004 summary:New properties for some sequences of functions defined by multiple integrals associated with the Hermite-Hadamard integral inequality for convex functions and some applications are ...
Dragomir, Sever S.
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Index of a bivariate mean and applications
Journal of Inequalities and Applications, 2016 Exploring some results of (Raïssouli in J. Math. Inequal. 10(1):83-99, 2016) from another point of view, we introduce here some power-operations for (bivariate) means.
Mustapha Raïssouli
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