Results 21 to 30 of about 509,585 (310)
, 2008 Citation: 'arithmetic mean' in the IUPAC Compendium of Chemical Terminology, 3rd ed.; International Union of Pure and Applied Chemistry; 2006. Online version 3.0.1, 2019. 10.1351/goldbook.A00440 • License: The IUPAC Gold Book is licensed under Creative Commons Attribution-ShareAlike CC BY-SA 4.0 International for individual terms.
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On a basic mean value Theorem with explicit exponents [PDF]
, 2020 In this paper we follow a paper from A. Sedunova (2017) regarding R. C. Vaughan's basic mean value Theorem (Acta Arith. 1980) to improve and complete a more general demonstration for a suitable class of arithmetic functions as started by A. C.
Ferrari, Matteo
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Soft ideals and arithmetic mean ideals [PDF]
, 2007 This article investigates the soft-interior and the soft-cover of operator ideals. These operations, and especially the first one, have been widely used before, but making their role explicit and analyzing their interplay with the arithmetic mean ...
Kaftal, Victor, Weiss, Gary
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On approximating the quasi-arithmetic mean
Journal of Inequalities and Applications, 2019 In this article, we prove that the double inequalities α1[7C(a,b)16+9H(a,b)16]+(1−α1)[3A(a,b)4+G(a,b)4]
Tie-Hong Zhao +3 more
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The arithmetic-harmonic mean [PDF]
Mathematics of Computation, 1984 Consider two sequences generated by \[ a n + 1 = M ( a n , b n ) , b
Foster, D. M. E., Phillips, G. M.
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Quasi-arithmetic means and OWA functions in interval-valued and Atanassov's intuitionistic fuzzy set theory [PDF]
, 2011 In this paper we propose an extension of the well-known OWA functions introduced by Yager to interval-valued (IVFS) and Atanassov’s intuitionistic (AIFS) fuzzy set theory.
Deschrijver, Glad
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The mean value of the function d(n)/d*(n) in arithmetic progressions [PDF]
Notes on Number Theory and Discrete Mathematics, 2023 Let d(n) and d*(n) be, respectively, the number of divisors and the number of unitary divisors of an integer n≥1. A divisor d of an integer is to be said unitary if it is prime over n/d.
Ouarda Bouakkaz, Abdallah Derbal
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Sharp two-parameter bounds for the identric mean
Journal of Inequalities and Applications, 2018 For t∈[0,1/2] $t\in [0,1/2]$ and s≥1 $s\ge 1$, we consider the two-parameter family of means Qt,s(a,b)=Gs(ta+(1−t)b,(1−t)a+tb)A1−s(a,b), $$ Q_{t,s}(a,b)=G^{s}\bigl(ta+(1-t)b,(1-t)a+tb\bigr)A^{1-s}(a,b), $$ where A and G denote the arithmetic and ...
Omran Kouba
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Sharp bounds for Neuman means in terms of two-parameter contraharmonic and arithmetic mean
Journal of Inequalities and Applications, 2019 In the article, we prove that λ1=1/2+[(2+log(1+2))/2]1/ν−1/2 $\lambda _{1}=1/2+\sqrt{ [ (\sqrt{2}+ \log (1+\sqrt{2}) )/2 ]^{1/\nu }-1}/2$, μ1=1/2+6ν/(12ν) $\mu _{1}=1/2+\sqrt{6 \nu }/(12\nu )$, λ2=1/2+[(π+2)/4]1/ν−1/2 $\lambda _{2}=1/2+\sqrt{ [(\pi +2)/4
Wei-Mao Qian +3 more
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Seven Means, Generalized Triangular Discrimination, and Generating Divergence Measures [PDF]
, 2012 From geometrical point of view, Eve (2003) studied seven means. These means are Harmonic, Geometric, Arithmetic, Heronian, Contra-harmonic, Root-mean square and Centroidal mean.
Tameja, Inder Jeet
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