Optimal Bounds for Neuman‐Sándor Mean in Terms of the Convex Combinations of Harmonic, Geometric, Quadratic, and Contraharmonic Means

TH Zhao, YM Chu, BY Liu - Abstract and Applied Analysis, 2012 - Wiley Online Library
Optimal Bounds for Neuman‐Sándor Mean in Terms of the Convex Combinations of Harmonic,
Geometric, Quadratic, and Contraharmon Page 1 Hindawi Publishing Corporation Abstract and …

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

HZ Xu, YM Chu, WM Qian - Journal of Inequalities and Applications, 2018 - Springer
Sharp bounds for the Sándor–Yang means in terms of arithmetic and contra-harmonic means |
Journal of Inequalities and Applications Skip to main content SpringerLink Account Menu Find …

[PDF][PDF] A note on the Neuman-Sándor mean

H Sun, TH Zhao, YM Chu, BY Liu - J. Math. Inequal, 2014 - Citeseer
In this article, we present several best possible lower bounds for the Neuman-Sándor mean
in terms of the geometric combinations of harmonic and quadratic means, geometric and …

[PDF][PDF] A note on a certain bivariate mean

E Neuman - J. Math. Inequal, 2012 - files.ele-math.com
A note on a certain bivariate mean Page 1 Journal of Mathematical Inequalities Volume 6,
Number 4 (2012), 637–643 doi:10.7153/jmi-06-62 A NOTE ON A CERTAIN BIVARIATE MEAN …

Sharp bounds for Neuman-Sándor mean in terms of the convex combination of quadratic and first Seiffert means

CHU Yuming, Z Tiehong, S Yingqing - Acta Mathematica Scientia, 2014 - Elsevier
In this article, we prove that the double inequality α P (a, b)+ 1 (1− α) Q (a, b)< M (a, b)< β P
(a, b)+(1− β) Q (a, b) holds for any a, b> 0 with a≠ b if and only if α≥ 1/2 and β≤[π (2 log …

Three families of two-parameter means constructed by trigonometric functions

ZH Yang - Journal of Inequalities and Applications, 2013 - Springer
In this paper, we establish three families of trigonometric functions with two parameters and
prove their monotonicity and bivariate log-convexity. Based on them, three two-parameter …

A double inequality for the trigamma function and its applications

ZH Yang, YM Chu, XJ Tao - Abstract and Applied Analysis, 2014 - Wiley Online Library
We prove that p= 1 and q= 2 are the best possible parameters in the interval (0,∞) such that
the double inequality (ep/(x+ 1)− e− p/x)/2p< ψ′(x+ 1)<(eq/(x+ 1)− e− q/x)/2q holds for x> 0 …

Refinements and generalizations of certain inequalities involving trigonometric and hyperbolic functions

E Neuman - Adv. Inequal. Appl., 2012 - scik.org
Inequalities involving trigonometric and hyperbolic functions are established. Obtained
results provide refinements or generalizations of inequalities proved by Adamovic and …

Several double inequalities for integer powers of the sinc and sinhc functions with applications to the Neuman–Sándor mean and the first Seiffert mean

WH Li, QX Shen, BN Guo - Axioms, 2022 - mdpi.com
In the paper, the authors establish a general inequality for the hyperbolic functions, extend
the newly-established inequality to trigonometric functions, obtain some new inequalities …

[PDF][PDF] Refinements of a two-sided inequality for trigonometric functions

ZH Yang - J. Math. Inequal, 2013 - Citeseer
Refinements of a two-sided inequality for trigonometric functions Page 1 Journal of Mathematical
Inequalities Volume 7, Number 4 (2013), 601–615 doi:10.7153/jmi-07-57 REFINEMENTS OF …