Results 1 to 10 of about 4,025,397 (266)

Optimal bounds for arithmetic-geometric and Toader means in terms of generalized logarithmic mean [PDF]

open access: yesJournal of Inequalities and Applications, 2017
In this paper, we find the greatest values α 1 , α 2 $\alpha_{1},\alpha_{2}$ and the smallest values β 1 , β 2 $\beta_{1},\beta_{2}$ such that the double inequalities L α 1 ( a , b ) < AG ( a , b ) < L β 1 ( a , b ) $L_{\alpha_{1}}(a,b)0$ with a ≠ b $a ...
Qing Ding, Tiehong Zhao
doaj   +2 more sources

The power mean and the logarithmic mean [PDF]

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1982
In a very interesting and recent note, Tung-Po Lin [1] obtained the least value q and the greatest value p such that ...
Christopher Olutunde Imoru
doaj   +3 more sources

The logarithmic mean of two convex functionals

open access: yesOpen Mathematics, 2020
The purpose of this paper is to introduce the logarithmic mean of two convex functionals that extends the logarithmic mean of two positive operators. Some inequalities involving this functional mean are discussed as well.
Raïssouli Mustapha, Furuichi Shigeru
doaj   +2 more sources

Logarithmic mean optimization a metaheuristic algorithm for global and case specific energy optimization [PDF]

open access: yesScientific Reports
This study introduces a novel metaheuristic optimization algorithm named Logarithmic Mean-Based Optimization (LMO), designed to enhance convergence speed and global optimality in complex energy optimization problems.
Idriss Dagal   +10 more
doaj   +2 more sources

ON TWO NEW MEANS OF TWO ARGUMENTS III [PDF]

open access: yesПроблемы анализа, 2018
In this paper we establish two sided inequalities for the following two new means X=X(a,b)=Ae^(G/P−1), Y=Y(a,b)=Ge^(L/A−1), where A, G, L and P are the arithmetic, geometric, logarithmic, and Seiffert means, respectively.
J. Sandor , B. A. Bhayo
doaj   +3 more sources

Mean Estimation for Time-Based Surveys Using Memory-Type Logarithmic Estimators

open access: yesMathematics, 2023
This article examines the issue of population mean estimation utilizing past and present data in the form of an exponentially weighted moving average (EWMA) statistic under simple random sampling (SRS).
Shashi Bhushan   +3 more
doaj   +1 more source

Several sharp inequalities about the first Seiffert mean

open access: yesJournal of Inequalities and Applications, 2018
In this paper, we deal with the problem of finding the best possible bounds for the first Seiffert mean in terms of the geometric combination of logarithmic and the Neuman–Sándor means, and in terms of the geometric combination of logarithmic and the ...
Boyong Long, Ling Xu, Qihan Wang
doaj   +1 more source

Methodology for selecting assessment periods of Logarithmic Mean Divisia Index decomposition techniques

open access: yesEnergy Strategy Reviews, 2023
Logarithmic Mean Divisia Index Decomposition Analysis (IDA-LMDI) is a widely used statistical technique in the engineering, economics, energy, and environmental sciences. The main application of the IDA-LMDI method is to identify the drivers that explain
Juan David Rivera-Niquepa   +3 more
doaj   +1 more source

Improvements of Logarithmic and Identric Mean Inequalities for Scalars and Operators

open access: yesJournal of Applied Mathematics, 2023
In this article, we provide refined inequalities for a convex Riemann’s integrable function using refinements of the classical Hermite-Hadamard inequality.
Aliaa Burqan   +2 more
doaj   +1 more source

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