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Arithmetic and Geometric Means

Sharp bounds for a special quasi arithmetic mean in terms of arithmetic and geometric means with two parameters

Sharp bounds for a special quasi arithmetic mean in terms of arithmetic and geometric means with two parameters

... the arithmetic mean A(a, b) and geometric mean G(a, b) with two ...and geometric means bounds for E(a, b) and find new bounds for the complete elliptic integral of the second ...

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Differential Subordinations of Arithmetic and Geometric Means of Some Functionals Related to a Sector

Differential Subordinations of Arithmetic and Geometric Means of Some Functionals Related to a Sector

... Some general theorems on differential subordinations of some functionals connected with arithmetic and geometric means related to a sector are proved. These results unify a number of well known ...

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Factorial Tripling Formula Using Arithmetic and Geometric Means and Approximation of Factorials

Factorial Tripling Formula Using Arithmetic and Geometric Means and Approximation of Factorials

... of arithmetic and geometric means of three consecutive ...of arithmetic mean (AM) to geometric mean (GM) of three closely placed large positive integers in arithmetic ...

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Optimal Inequalities for Generalized Logarithmic, Arithmetic, and Geometric Means

Optimal Inequalities for Generalized Logarithmic, Arithmetic, and Geometric Means

... respectively. It is well known that both means are continuous and increasing with respect to p ∈ R for fixed a and b. Recently, both means have been the subject of intensive research. In particular, many ...

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Proof of One Optimal Inequality for Generalized Logarithmic, Arithmetic, and Geometric Means

Proof of One Optimal Inequality for Generalized Logarithmic, Arithmetic, and Geometric Means

... 9 J. S´andor, “On certain inequalities for means. III,” Archiv der Mathematik, vol. 76, no. 1, pp. 34–40, 2001. 10 M.-Y. Shi, Y.-M. Chu, and Y.-P. Jiang, “Optimal inequalities among various means of two ...

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Optimal bounds for Neuman means in terms of geometric, arithmetic and quadratic means

Optimal bounds for Neuman means in terms of geometric, arithmetic and quadratic means

... Neuman means S HA and S CA derived from the Schwab-Borchardt mean in terms of convex combinations of either the weighted arithmetic and geometric means or the weighted arithmetic and ...

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Sharp bounds for the Sándor–Yang means in terms of arithmetic and contra harmonic means

Sharp bounds for the Sándor–Yang means in terms of arithmetic and contra harmonic means

... 3. Jiang, W.-D., Cao, J., Qi, F.: Sharp inequalities for bounding Seiffert mean in terms of the arithmetic, centroidal, and contra-harmonic means. Math. Slovaca 66(5), 1115–1118 (2016) Available at ...

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Optimal bounds for arithmetic geometric and Toader means in terms of generalized logarithmic mean

Optimal bounds for arithmetic geometric and Toader means in terms of generalized logarithmic mean

... 1. Stolarsky, KB: Generalizations of the logarithmic mean. Math. Mag. 48, 87-92 (1975) 2. Chu, YM, Hou, SW, Gong, WM: Inequalities between logarithmic, harmonic, arithmetic and centroidal means. J. Math. ...

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Optimal bounds for the first and second Seiffert means in terms of geometric, arithmetic and contraharmonic means

Optimal bounds for the first and second Seiffert means in terms of geometric, arithmetic and contraharmonic means

... 23. Yang, Z-H, Song, Y-Q, Chu, Y-M: Monotonicity of the ratio of the power and second Seiffert means with applications. Abstr. Appl. Anal. 2014, Article ID 840130 (2014) 24. Sándor, J: On certain inequalities for ...

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Sharp bounds for Sándor mean in terms of arithmetic, geometric and harmonic means

Sharp bounds for Sándor mean in terms of arithmetic, geometric and harmonic means

... This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, d[r] ...

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Sharp bounds for the arithmetic geometric mean

Sharp bounds for the arithmetic geometric mean

... with the best possible parameters β  = / and α  = /π . Other inequalities involving AGM can be found in the literature [–]. The aim of this paper is to establish the new inequality chains for the ratio of ...

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On the Relationship between Arithmetic and Geometric Returns

On the Relationship between Arithmetic and Geometric Returns

... any means, electronic or mechanical, including photocopying, recording, or by any information storage and retrieval system, without permission in writing from CDI Advisors ...

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Geometric-Arithmetic Index of Hamiltonian Fullerenes

Geometric-Arithmetic Index of Hamiltonian Fullerenes

... Throughout this paper graph means simple connected graph. Let G be a connected graph with vertex and edge sets V(G) and E(G), respectively. Suppose Λ denotes the class of all graphs. A map is called a topological ...

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On Second Geometric-Arithmetic Index of Graphs

On Second Geometric-Arithmetic Index of Graphs

... The name of this class of indices is evident from their definition. Namely, indices belonging to this group are calculated as the ratio of geometric and arithmetic means of some properties of ...

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Yet another note on the arithmetic geometric mean inequality

Yet another note on the arithmetic geometric mean inequality

... which means that with probability approaching 1/2 the inequality between geometric and p-generalized means can be improved with the multiplicative constant e m p < ...

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ON ARITHMETIC-GEOMETRIC INDEX (GA) AND EDGE GA INDEX

ON ARITHMETIC-GEOMETRIC INDEX (GA) AND EDGE GA INDEX

... the arithmetic-geometric index and the edge version of arithmetic- geometric index of a graph ...arithmetical means of end vertex degrees of ...the arithmetic-geometric ...

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Counting points on K3 surfaces and other arithmetic-geometric objects

Counting points on K3 surfaces and other arithmetic-geometric objects

... Question 3: How big can a Brauer group of a K3 surface get? Our result gives a recipe that takes as ingredients only a few basic nu- merical values attached to the surface whose Brauer group one wants to study. However, ...

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M20 Arithmetic and Geometric Sequences.pdf

M20 Arithmetic and Geometric Sequences.pdf

... The amounts of substance X that decay in 5-year intervals form a geometric sequence:?. 50 , 25 , 12.[r] ...

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New Arithmetic-Geometric Indices

New Arithmetic-Geometric Indices

... fifth arithmetic-geometric indices of a molecular ...fifth arithmetic- geometric index of triangular benzenoid T n and hexagonal parallelogram P(m,n) nanotube ...

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Arithmetic Gradient Geometric Gradient Mortgages

Arithmetic Gradient Geometric Gradient Mortgages

... Geometric Gradient to Present Worth Conversion Factor Your company has just opened and must dispose of its biomedical waste. The base cost that was quoted to you was $6000 but as business increases you expect the ...

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