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[PDF] Top 20 Inequalities for Generalized Logarithmic Means

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Inequalities for Generalized Logarithmic Means

Inequalities for Generalized Logarithmic Means

... Guo, “An inequality between ratio of the extended logarithmic means and ratio of the exponential means,” Taiwanese Journal of Mathematics, vol.. Tang, “An elementary inequality for psi f[r] ... See full document

7

Monotonicity and Inequalities for Ratio of the Generalized Logarithmic Means

Monotonicity and Inequalities for Ratio of the Generalized Logarithmic Means

... [29] J. A. Sampaio Martins, Inequalities of Rado-Popoviciu type, In: Marques de S´ a, Eduardo (ed.) et al. Mathematical studies. Homage to Professor Doctor Lu´ıs de Albuquerque. Coimbra: Universidade de Coimbra, ... See full document

7

Optimal Inequalities for Generalized Logarithmic, Arithmetic, and Geometric Means

Optimal Inequalities for Generalized Logarithmic, Arithmetic, and Geometric Means

... Chen, “The monotonicity of the ratio between generalized logarithmic means,” Journal of Mathematical Analysis and Applications, vol.. Qi, “Monotonicity result for generalized logarithmic[r] ... See full document

10

Optimal generalized Heronian mean bounds for the logarithmic mean

Optimal generalized Heronian mean bounds for the logarithmic mean

... certain inequalities for ...certain inequalities for means ...certain inequalities for means ...and generalized logarithmic ... See full document

6

Sharp bounds for Seiffert and Neuman Sándor means in terms of generalized logarithmic means

Sharp bounds for Seiffert and Neuman Sándor means in terms of generalized logarithmic means

... Chu, Y-M, Zong, C, Wang, G-D: Optimal convex combination bounds of Seiffert and geometric means for the arithmetic mean.. Borwein, JM, Borwein, PB: Inequalities for compound mean iteratio[r] ... See full document

13

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

... Matejíčka, L: Sharp bounds for the weighted geometric mean of the first Seiffert and logarithmic means in terms of weighted generalized Heronian mean.. Yang, Z-H: Sharp bounds for Seiffert[r] ... See full document

9

An Optimal Double Inequality for Means

An Optimal Double Inequality for Means

... Chen, “The monotonicity of the ratio between generalized logarithmic means,” Journal of Mathematical Analysis and Applications, vol.. Chen, “Refinements, extensions and generalizations o[r] ... See full document

11

New generalized Hermite Hadamard type inequalities and applications to special means

New generalized Hermite Hadamard type inequalities and applications to special means

... type inequalities involving Hadamard fractional integrals for the functions satisfying monotonicity, convexity and s-e-condition are ...integral inequalities involving Hadamard fractional integrals are also ... See full document

15

On Logarithmic Convexity for Differences of Power Means

On Logarithmic Convexity for Differences of Power Means

... also be given. As a consequence of Theorem 2.2, a whole variety of applications arise. For instance, we obtain a substantial improvement of Jensen’s inequality and a converse of Holder’s inequality, as well. As an ... See full document

8

On Some Inequalities of Symmetric Means and Mixed Means

On Some Inequalities of Symmetric Means and Mixed Means

... Our first goal in the paper is to provide a refinement of Theorem 1.2 and also prove (1.4) for r = 1. We then move on to study other families of means, such as those considered by E. Beckenbach[4] and ... See full document

8

Two Schur-convex functions related to the generalized integral quasiarithmetic means

Two Schur-convex functions related to the generalized integral quasiarithmetic means

... The Schur-convexity of two functions which related to the generalized integral quasiarithmetic means are researched, and two new inequalities are established.. As applications, some refi[r] ... See full document

12

A Logarithmic Version of the Complex Generalized Smith Chart

A Logarithmic Version of the Complex Generalized Smith Chart

... a Generalized Smith Chart, whose new version arises when trying to characterize the wave impedance along the Transmission Line by means of analytical complex ...the logarithmic-reflexion coefficient- ... See full document

6

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

... Optimal bounds for arithmetic-geometric and Toader means in terms of generalized logarithmic mean Qing Ding1 and Tiehong Zhao2* *.. Correspondence: [email protected] 2 Department [r] ... See full document

12

On Integral Version of Alzer's Inequality and Martins' Inequality

On Integral Version of Alzer's Inequality and Martins' Inequality

... [13] J. S´ andor, On an inequality of Alze, J. Math. Anal. Appl. 192 (1995), 1034–1035. [14] J. S´ andor, On an inequality of Alzer, II, O. Math. Mag. 11 (2003), no. 2, 554–555. [15] K. B. Stolarsky, Generalizations of ... See full document

5

The optimization for the inequalities of power means

The optimization for the inequalities of power means

... teresting sufficient condition that the foregoing inequality holds are obtained; an open problem posed by Wang et al. in 2004 is solved and generalized; a rulable criterion of the semipositivity of homogeneous ... See full document

25

On the Monotonicity and Log Convexity of a Four Parameter Homogeneous Mean

On the Monotonicity and Log Convexity of a Four Parameter Homogeneous Mean

... A four-parameter homogeneous mean Fp, q; r, s; a, b is defined by another approach. The criterion of its monotonicity and logarithmically convexity is presented, and three refined chains of inequalities for ... See full document

12

An estimation of size biased generalized logarithmic series distribution

An estimation of size biased generalized logarithmic series distribution

... Size-biased Generalized Logarithmic Series Distribution ...by means of Pearson’s Chi-square, Akaike Information Criterion (AIC) and Bayesian Information Criterion Techniques ... See full document

6

New Estimation of the Remainder in the Trapezoidal Formula with Applications

New Estimation of the Remainder in the Trapezoidal Formula with Applications

... Integral inequalities have been used extensively in most subjects involving mathematical anal- ...integral inequalities for the trapezoidal rule and apply these to special means: p-logarithmic ... See full document

8

Some Monotonicity Results for the Ratio of Two Parameter Symmetric Homogeneous Functions

Some Monotonicity Results for the Ratio of Two Parameter Symmetric Homogeneous Functions

... In 8 the author has proven that inequality 1.1 is valid for power means of certain order, logarithmic, identric, and the Heronian mean of order ω. Neuman et al. 9 obtained inequalities of the form ... See full document

12

Hermite–Hadamard inequalities and their applications

Hermite–Hadamard inequalities and their applications

... We have established some new results of Hermite–Hadamard type for generalized loga- rithmic means. We have also elaborated the results with corresponding examples. Special cases were also discussed in ... See full document

9

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