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Sharp bounds for the Sándor–Yang means in terms of arithmetic and contra-harmonic means [PDF]

open access: yesJournal of Inequalities and Applications, 2018
In the article, we provide several sharp upper and lower bounds for two Sándor–Yang means in terms of combinations of arithmetic and contra-harmonic means.
Hui-Zuo Xu, Yu-Ming Chu, Wei-Mao Qian
doaj   +21 more sources

Bounds for the Neuman–Sándor Mean in Terms of the Arithmetic and Contra-Harmonic Means

open access: yesAxioms, 2022
In this paper, the authors provide several sharp upper and lower bounds for the Neuman–Sándor mean in terms of the arithmetic and contra-harmonic means, and present some new sharp inequalities involving hyperbolic sine function and hyperbolic cosine ...
Wen-Hui Li, Peng Miao, Bai-Ni Guo
doaj   +4 more sources

OMPLEMENTARY OF CLASSICAL MEANS WITH RESPECT TO HERON MEAN AND THEIR SCHUR CONVEXITIES [PDF]

open access: yesProceedings on Engineering Sciences, 2021
In this paper, the complementary of arithmetic mean, geometric mean, harmonic mean and contra harmonic mean with respect to Heron mean are defined. Further, by finding the partial derivatives developed the Schur convexity and Schur geometric convexity ...
K M Nagaraja   +3 more
doaj   +1 more source

Modifikasi metode iterasi berorde tiga dengan orde konvergensi optimal

open access: yesMajalah Ilmiah Matematika dan Statistika, 2023
Weerakoon-Fernando’s and Homeier’s methods are a third-order iterative method to solve nonlinear equations. A new third-order iterative method is constructed by sum of Weerakoon-Fernandon’s and Homeier’s method. This paper discusses the modification of
Annisa Agustina, Wartono Wartono
doaj   +1 more source

Inequalities for 3-convex functions and applications

open access: yesJournal of New Results in Science, 2022
In this article, we derived new information inequalities on Jain-Saraswat's functional coefficient of distance (2013) for 3-convex functions. Further, we evaluated some important relations among Relative Jensen Shannon coefficient of distance, Relative ...
Praphull Chhabra
doaj   +1 more source

On approximating the quasi-arithmetic mean

open access: yesJournal 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
doaj   +1 more source

New Modification on Heun’s Method Based on Contraharmonic Mean for Solving Initial Value Problems with High Efficiency

open access: yesJournal of Mathematics, 2020
In this paper, small modification on Improved Euler’s method (Heun’s method) is proposed to improve the efficiency so as to solve ordinary differential equations with initial condition by assuming the tangent slope as an average of the arithmetic mean ...
Abushet Hayalu Workie
doaj   +1 more source

Improvements of bounds for the Sándor–Yang means

open access: yesJournal of Inequalities and Applications, 2019
In the article, we provide new bounds for two Sándor–Yang means in terms of the arithmetic and contraharmonic means. Our results are the improvements of the previously known results.
Wei-Mao Qian, Hui-Zuo Xu, Yu-Ming Chu
doaj   +1 more source

Seven Means, Generalized Triangular Discrimination, and Generating Divergence Measures

open access: yesInformation, 2013
Jensen-Shannon, J-divergence and Arithmetic-Geometric mean divergences are three classical divergence measures known in the information theory and statistics literature.
Inder Jeet Taneja
doaj   +1 more source

Sharp inequalities for the Neuman-Sandor mean in terms of arithmetic and contra-harmonic means

open access: yesJournal of Numerical Analysis and Approximation Theory, 2013
In this paper, we find the greatest values \(\alpha\) and \(\lambda\), and the least values \(\beta\) and \(\mu\) such that the double inequalities \[C^{\alpha}(a,b)A^{1-\alpha}(a,b)
Yu-Ming Chu, Miao-Kun Wang, Bao-Yu Liu
doaj   +2 more sources

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