scholarly journals The Monotonicity Results for the Ratio of Certain Mixed Means and Their Applications

2012 ◽  
Vol 2012 ◽  
pp. 1-13
Author(s):  
Zhen-Hang Yang
Keyword(s):  
Monotonicity Properties ◽  
Two Parameter ◽  
Stolarsky Means ◽  
Monotonicity Results ◽  
New Inequalities

We continue to adopt notations and methods used in the papers illustrated by Yang (2009, 2010) to investigate the monotonicity properties of the ratio of mixed two-parameter homogeneous means. As consequences of our results, the monotonicity properties of four ratios of mixed Stolarsky means are presented, which generalize certain known results, and some known and new inequalities of ratios of means are established.

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

2009 ◽  
Vol 2009 ◽  
pp. 1-12 ◽  
Author(s):  
Zhen-Hang Yang
Keyword(s):  
Homogeneous Functions ◽  
Monotonicity Properties ◽  
A Chain ◽  
Two Parameter ◽  
Monotonicity Results

Applying well properties of homogeneous functions, some monotonicity results for the ratio of two-parameter symmetric homogeneous functions are presented, which give an easier access to find two-parameter symmetric homogeneous means having ratio simple monotonicity properties proposed by L. Losonczi. As an application, a chain of inequalities of ratio of bivariate means is established.

Logarithmic concavity of the inverse incomplete beta function with respect to the first parameter

2021 ◽  
Vol 127 (1) ◽  
pp. 111-130
Author(s):  
Dimitris Askitis
Keyword(s):  
Distribution Function ◽  
Beta Distribution ◽  
Probability Distributions ◽  
Beta Function ◽  
Incomplete Beta Function ◽  
Univariate Function ◽  
Convexity Properties ◽  
Logarithmic Concavity ◽  
Two Parameter ◽  
Monotonicity Results

The beta distribution is a two-parameter family of probability distributions whose distribution function is the (regularised) incomplete beta function. In this paper, the inverse incomplete beta function is studied analytically as a univariate function of the first parameter. Monotonicity, limit results and convexity properties are provided. In particular, logarithmic concavity of the inverse incomplete beta function is established. In addition, we provide monotonicity results on inverses of a larger class of parametrised distributions that may be of independent interest.

Bounds for modified Bessel functions of the first and second kinds

2010 ◽  
Vol 53 (3) ◽  
pp. 575-599 ◽  
Author(s):  
Árpád Baricz
Keyword(s):  
Bessel Functions ◽  
Special Function ◽  
Finite Elasticity ◽  
Higher Order ◽  
Modified Bessel Functions ◽  
Maclaurin Series ◽  
Monotonicity Properties ◽  
New Inequalities

AbstractSome new inequalities for quotients of modified Bessel functions of the first and second kinds are deduced. Moreover, some developments on bounds for modified Bessel functions of the first and second kinds, higher-order monotonicity properties of these functions and applications to a special function that arises in finite elasticity, are summarized. The key tool in our proofs is a frequently used criterion for the monotonicity of the quotient of two Maclaurin series.

Monotonicity results in half-spaces for thep-Laplacian

2015 ◽  
Vol 145 (3) ◽  
pp. 597-610 ◽  
Author(s):  
Berardino Sciunzi
Keyword(s):  
Boundary Conditions ◽  
Weak Solutions ◽  
Dirichlet Boundary ◽  
Dirichlet Boundary Conditions ◽  
Monotonicity Properties ◽  
Monotonicity Results

We prove monotonicity properties of positive weak solutions to – Δpu=f(u) in half-spaces for the case in which (2N+ 2)/(N+ 2) <p< 2 when zero Dirichlet boundary conditions are imposed. The model nonlinearity is given byf(s) :=sq− λsmwithq>m≥p− 1 and λ > 0.

scholarly journals Monotonicity results for delta and nabla caputo and Riemann fractional differences via dual identities

Filomat ◽  
2017 ◽  
Vol 31 (12) ◽  
pp. 3671-3683 ◽  
Author(s):  
Thabet Abdeljawad ◽  
Bahaaeldin Abdalla
Keyword(s):  
Difference Operators ◽  
Fractional Difference ◽  
Monotonicity Properties ◽  
Delta Type ◽  
Dual Identities ◽  
The Right ◽  
Monotonicity Results

Recently, some authors have proved monotonicity results for delta and nabla fractional differences separately. In this article, we use dual identities relating delta and nabla fractional difference operators to prove shortly the monotonicity properties for the (left Riemann) nabla fractional differences using the corresponding delta type properties. Also, we proved some monotonicity properties for the Caputo fractional differences. Finally, we use the Q??operator dual identities to prove monotonicity results for the right fractional difference operators.

Some results of the Barbier-Chalonge-Divan system of stellar classification

1966 ◽  
Vol 24 ◽  
pp. 77-90 ◽  
Author(s):  
D. Chalonge
Keyword(s):  
Early Type ◽  
Parameter System ◽  
Early Type Stars ◽  
Two Parameter

Several years ago a three-parameter system of stellar classification has been proposed (1, 2), for the early-type stars (O-G): it was an improvement on the two-parameter system described by Barbier and Chalonge (3).

Subjective Time Preference and Willingness to Pay for an Energy-Saving Durable Good

2001 ◽  
Vol 32 (3) ◽  
pp. 133-141 ◽  
Author(s):  
Gerrit Antonides ◽  
Sophia R. Wunderink
Keyword(s):  
Willingness To Pay ◽  
Energy Saving ◽  
Subjective Time ◽  
Durable Good ◽  
Discount Function ◽  
Hyperbolic Discount ◽  
The One ◽  
Two Parameter ◽  
Difference Effect ◽  
Better Than

Summary: Different shapes of individual subjective discount functions were compared using real measures of willingness to accept future monetary outcomes in an experiment. The two-parameter hyperbolic discount function described the data better than three alternative one-parameter discount functions. However, the hyperbolic discount functions did not explain the common difference effect better than the classical discount function. Discount functions were also estimated from survey data of Dutch households who reported their willingness to postpone positive and negative amounts. Future positive amounts were discounted more than future negative amounts and smaller amounts were discounted more than larger amounts. Furthermore, younger people discounted more than older people. Finally, discount functions were used in explaining consumers' willingness to pay for an energy-saving durable good. In this case, the two-parameter discount model could not be estimated and the one-parameter models did not differ significantly in explaining the data.

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