Bivariate homogeneous functions of two parameters: monotonicity, convexity, comparisons, and functional inequalities
From MaRDI portal
Publication:6664126
DOI10.1016/j.jmaa.2024.129091MaRDI QIDQ6664126
Publication date: 16 January 2025
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
comparisonHölder inequalitySchur convexityMinkowski inequalitylogarithmic convexitybivariate homogeneous functions of two parameters
Functions of one variable (26Axx) Inequalities in real analysis (26Dxx) Miscellaneous topics in real functions (26Exx)
Cites Work
- Monotonicity and convexity of S-means
- On Schur m-power convexity for ratios of some means
- Schur power convexity of Stolarsky means
- Complete monotonicity of the logarithmic mean
- An alternative note on the Schur-convexity of the extended mean values
- Analytic Inequalities
- Inequalities: theory of majorization and its applications
- Convex analysis and monotone operator theory in Hilbert spaces
- THE LOG-CONVEXITY OF ANOTHER CLASS OF ONE-PARAMETER MEANS AND ITS APPLICATIONS
- Convex functions and their applications. A contemporary approach
- A note on Schur-convex functions
- Necessary and Sufficient Conditions for a Bivariate Mean of Three Parameters to Be the Schur $m$-Power Convex
- Closed-form formulas, determinantal expressions, recursive relations, power series, and special values of several functions used in Clark--Ismail's two conjectures
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- New versions of weighted multidimensional functional and Stolarsky means
- Generalization of Stolarsky type means
- Local monotonicity properties of two-variable Gini means and the comparison theorem revisited
- 4-points Stolarsky means
- Two closed forms for the Bernoulli polynomials
- On the identric and logarithmic means
- Multi-variable extended mean values
- Notes on the Schur-convexity of the extended mean values
- A simple proof of logarithmic convexity of extended mean values
- The monotonicity of the ratio between generalized logarithmic means
- Comparison of means generated by two functions and a measure
- On the monotonicity and log-convexity of a four-parameter homogeneous mean
- Necessary and sufficient conditions such that extended mean values are Schur-convex or Schur-convave
- Some monotonicity results for the ratio of two-parameter symmetric homogeneous functions
- Necessary and sufficient conditions for Schur geometrical convexity of the four-parameter homogeneous means
- Alternative proofs for monotonic and logarithmically convex properties of one-parameter mean values
- Schur-convexity and Schur-geometrically concavity of Gini means
- An extension of Stolarsky means to the multivariable case
- The Schur harmonic convexity of the Hamy symmetric function and its applications
- Solution of an open problem for Schur convexity or concavity of the Gini mean values
- Extended mean values. II
- Ungleichungen für Mittelwerte. (Inequalities for means)
- Inequalities for differences of powers
- Inequalities for sums of powers
- Convex functions, partial orderings, and statistical applications
- A simple proof of monotonicity for extended mean values
- A new proof of monotonicity for extended mean values
- Refinements and extensions of an inequality. II
- Equality of two variable Cauchy mean values
- Integral representations of bivariate complex geometric mean and their applications
- On certain means of two arguments and their extensions
- On comparison of Stolarsky and Gini means
- The monotonicity results for the ratio of certain mixed means and their applications
- Necessary and sufficient conditions on the Schur convexity of a bivariate mean
- Three families of two-parameter means constructed by trigonometric functions
- The Schur-convexity of Stolarsky and Gini means
- Logarithmic convexity of the one-parameter mean values
- On logarithmic convexity for differences of power means
- A note on Schur-convexity of extended mean values
- Di una formula comprensiva delle medie
- Schur \(m\)-power convexity for general geometric Bonferroni mean of multiple parameters and comparison inequalities between several means
- On weighted generalized logarithmic means
- Logarithmic convexity of extended mean values
- Schur power convexity of the Daróczy means
- SCHUR POWER CONVEXITY OF GINI MEANS
- On Schur-convexity and Schur-geometric convexity of four-parameter family of means
- Some comparison inequalities for Gini and Stolarsky means
- On the log-convexity of two-parameter homogeneous functions
- Monotonicity of ratio between the generalized logarithmic means
- Comparison theorem for two-parameter means
- Gini Means
- The Power and Generalized Logarithmic Means
- The Power Mean and the Logarithmic Mean
- Generalizations of the Logarithmic Mean
- Extended Mean Values
- Corrections to "Extended Mean Values"
- The function (𝑏^{𝑥}-𝑎^{𝑥})/𝑥: Inequalities and properties
- Generalized weighted mean values with two parameters
- Minkowski’s inequality for two variable difference means
- New proofs of weighted power mean inequalities and monotonicity for generalized weighted mean values
- On Converses of Some Inequalities for Means
- Note on monotonicity of generalized weighted mean values
- Weighted extended mean values
- The function (bx−ax)/x: Logarithmic convexity and applications to extended mean values
- Logarithmic convexity of Gini means
This page was built for publication: Bivariate homogeneous functions of two parameters: monotonicity, convexity, comparisons, and functional inequalities
