Chen, Chao-Ping

Qi, Feng

Victoria University Eprints Repository

English

A complete monotonicity property of the gamma function,

A probabilistic interpretation of complete monotonicity,

An Introduction to Probability Theory and its

Completely monotonic rational functions and Hall’s marriage theorem,

Error bounds for asymptotic expansions of the ratio of two gamma functions,

Formulas and theorems for the special functions of mathematical physics,

Generalized Gamma Convolutions and related Classes of Distributions and Densities,

Harmonic Analysis on Semigroups. Theory of Positive Deﬁnite and related Functions,

Introduction to Special Function, The Series of Advanced Physics of Peking University,

On a limit involving the Euler-gamma function,

On monotonicity of the relaxation functions of viscoelastic meterial,

On some inequalities for the gamma and psi functions,

Potential Theory on Locally Compact Abelian Groups, Ergebnisse der

Sequence Transformations and their Applications,

Some gamma function inequalities,

The Laplace Transform,

Completely Monotonic Functions Related to the Gamma Functions

A Dictionary of Inequalities, Pitman Monographs and Surveys

Analytic Inequalities,

Ch´ angy` ong B` udˇ engsh` i (Applied Inequalities), 2nd edition,

Improvement of lower bound in Wallis’ inequality,

Inequalities for the gamma function and its logarithmic derivative,

Inequalities for zero-balanced hypergeometric functions,

On some inequalities for the gamma and psi function,

Special Functions of Mathematical Physics,

The Best Bounds in Wallis' Inequality

The function 1/x ln Γ(x+1)−ln x+1 is strictly completely monotonic

on (0,∞)

Elsevier - Publisher Connector 

A monotonicity property of the Γ-function,

cari´ c, The best bounds in Gautschi’s inequality,

Error bounds for asymptonic expansions of the ratio of two gamma functions,

Formulas and Theorems for the Special Functions of

Generalized abstracted mean values,

Generalized weighted mean values with two parameters,

Inequalities for generalized weighted mean values of convex function,

Monotonicity and convexity results for functions involving the gamma function,

Monotonicity results and inequalities for the gamma and incomplete gamma functions,

Monotonicity results for the gamma function,

Note on monotonicity of generalized weighted mean values,

The function (bx−ax)/x: Inequalities and properties,

A Complete Monotonicity of the Gamma Function

In the article, some strictly Logarithmically completely monotonic

ratios of mean values are presented

Complete monotonicities of functions involving the gamma and digamma functions,

Dei limiti a cui tendono alcune media,

E-mail address: chenchaoping@hpu.edu.cn (F.

Generalizations of the logarithmic mean,

Generalized Gamma Convolutions and Related Classes of Distributions and Densities,

Harmonic Analysis on Semigroups. Theory of Positive Deﬁnite and Related Functions,

On certain inequalies involving the constant e and their applications,

Potential Theory on Locally Compact Abelian Groups,

Sequence Transformations and Their Applications,

Some completely monotonic functions involving the gamma and polygamma functions,

The power and generalized logarithmic means,

Logarithmically Completely Monotonic Ratios of Mean Values and an Application

A suﬃcient condition for the integral version of Martins’ inequality,

An algebraic inequality,

An algebraic inequality, II,

An elementary proof of H. Alzer’s inequality,

An inequality between ratio of the extended logarithmic means and ratio of the exponential means,

Arithmetic and geometric means, an application to Lorentz sequence spaces,

Logarithmic convexity of extended mean values,

Monotonicity properties for generalized logarithmic means,

Notes on proofs of Alzer’s inequality,

On an inequality of

On an inequality of Alze,

On an inequality of Alzer, II,

Reverse of Martins’ inequality,

The inequality of Alzer for negative powers,

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

Let c > b > a > 0 be real numbers. Then the function f(r) =

Lr(a,b)/Lr(a,c) is strictly decreasing on (−∞,∞), where Lr(a, b) denotes the generalized (extended) logarithmic mean of two positive numbers a and b

A general form of Alzer’s inequality,

A lower bound for ratio of power means,

An inequality for the ratios of the arithmetic means of functions with a positive parameter,

Arithmetic and geometric means, an applications to Lorentz sequence spaces,

cari´ c, On Alzer’s inequality,

Ch´ angy` ong B` udˇ engsh` ı (Applied Inequalities), 2nd ed.,

Comments on an inequality for the sum of powers of positive numbers,

Generalization of H. Alzer’s inequality,

Generalizations of Alzer’s and Kuang’s inequality,

Inequalities and monotonicity of sequences involving n p (n + k)!/k!,

Inequalities and monotonicity of the ratio for the geometric means of a positive arithmetic sequence with arbitrary diﬀerence,

Inequalities and monotonicity of the ratio for the geometric means of a positive arithmetic sequence with unit diﬀerence,

Mitrinovi´ c, Analytic Inequalities,

Monotonicity of sequences involving convex and concave functions,

Monotonicity of sequences involving convex function and sequence,

Monotonicity of sequences involving geometric means of positive sequences with logarithmical convexity,

New generalization of H. Alzer’s inequality,

On a generalization of Martins’ inequality,

On a new generalization of Alzer’s inequality,

On a new generalization of Martins’ inequality,

On an inequality of Alzer,

On an inequality of Bennett,

On further generalization of an inequality of H.

On some inequalities,

Sampaio Martins, Inequalities of Rado-Popoviciu type, In:

Some extensions and reﬁnements of Minc-Sathre inequality,

Some inequalities involving (r!)1/r,

Some inequalities involving the geometric mean of natural numbers and the ratio of gamma functions,

Monotonicity and Inequalities for Ratio of the Generalized Logarithmic Means

In this paper, we prove the existence of $C^{1,1}$-solution to the Dirichlet
problem for degenerate elliptic $k$-Hessian equations $S_{k}[u]=f$ under a
condition which is weaker than the condition $f^{1/k}\in C^{1,1}(\bar\Omega)$.Comment: 18page

Wang, Qi

Xu, Chao-Jiang

arXiv.org e-Print Archive

HAL - Normandie Université

Crossref

$C^{1, 1}$ Solution of the Dirichlet Problem for Degenerate $k$-Hessian
  Equations