Some New Methods for Generating Convex Functions

DOI10.1007/978-3-030-27407-8_4zbMath1441.26006OpenAlexW2985008949MaRDI QIDQ5114161

Marius Rădulescu, Sorin Rădulescu, Dorin Andrica

Publication date: 21 June 2020

Published in: Differential and Integral Inequalities (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-030-27407-8_4

Mathematics Subject Classification ID

Convexity of real functions in one variable, generalizations (26A51) Convexity of real functions of several variables, generalizations (26B25) Approximation by positive operators (41A36)

Cites Work

• 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
• Supercharacters, symmetric functions in noncommuting variables, and related Hopf algebras
• All convex invariant functions of hermitian matrices
• The IMO compendium. A collection of problems suggested for the International Mathematical Olympiads: 1959--2004
• Muirhead-Rado inequality for compact groups
• Notes on particular symmetric polynomials with applications
• Symmetric functions and P-recursiveness
• A family of symmetric polynomials of the eigenvalues of a matrix
• On a problem related to the Vandermonde determinant
• Compact relationships between invariants of classical Lie groups and elementary symmetric polynomials
• Convex functions, partial orderings, and statistical applications
• First- and second-order epi-differentiability in eigenvalue optimization
• The descent monomials and a basis for the diagonally symmetric polynomials
• Remark on an inequality of S. Gabler
• On analyticity of functions involving eigenvalues
• Inequalities for indefinite forms
• The mathematics of eigenvalue optimization
• On a connection between the Pascal, Vandermonde and Stirling matrices. I.
• Explicit inverse of a generalized Vandermonde matrix.
• On a connection between the Pascal, Vandermonde and Stirling matrices. II.
• The limit behavior of elementary symmetric polynomials of i. i. d. random variables when their order tends to infinity
• The flagged Cauchy determinant
• Conewise linear elastic materials
• A generalization of Muirhead's theorem
• Some combinatorial properties of Jack symmetric functions
• On the convexity of nonlinear elastic energies in the right Cauchy-Green tensor
• A note on the convexity of \(\mathbf C\mapsto h(\det\mathbf C)\)
• An inequality for convex functions involving majorization
• On Muirhead's theorem
• Twice Differentiable Spectral Functions
• On the convexity of the function C ↦ f(det C) on positive-definite matrices
• Partition functions and symmetric polynomials
• On an Inequality Concerning an Indefinite Form
• Inequalities for Symmetric Functions and Hermitian Matrices
• The Euler characteristic as a polynomial in the Chern classes
• On conjugate functions, subgradients, and directional derivatives of a class of optimality criteria in experimental design
• A New Variational Result for Quasi-Newton Formulae
• Inequalities concerning the inverses of positive definite matrices
• Polynomial estimation of eigenvalues
• Convex Analysis of Spectrally Defined Matrix Functions
• Determinant Maximization with Linear Matrix Inequality Constraints
• Measures for Symmetric Rank-One Updates
• Derivatives of Spectral Functions
• Spectral Order Preserving Matrices and Muirhead's Theorem
• Convex Analysis on the Hermitian Matrices
• New concavity and convexity results for symmetric polynomials and their ratios
• Symmetric polynomials in information theory: Entropy and subentropy
• Generalisation of the Muirhead-Rado Inequality
• Asymptotics of symmetric polynomials with applications to statistical mechanics and representation theory
• Inequalities: theory of majorization and its applications
• Inequalities
• Convex functions and their applications. A contemporary approach