Inequalities Involving Multivariate Convex Functions II

DOI10.2307/2048125zbMath0699.26009OpenAlexW4255611801MaRDI QIDQ3477092

Edward Neuman

Publication date: 1990

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2048125

zbMATH Keywords

Jensen's inequalitymultivariate convex functionsFejér's inequalitygeneralized simplex splines

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15) Spline approximation (41A15) Hypergeometric integrals and functions defined by them ((E), (G), (H) and (I) functions) (33C60) Convexity of real functions of several variables, generalizations (26B25)

Related Items (14)

A refinement of the left-hand side of Hermite-Hadamard inequality for simplices ⋮ Companions of Hermite-Hadamard Inequality for Convex Functions (II) ⋮ Moments of Dirichlet splines and their applications to hypergeometric functions ⋮ Hermite-Hadamard type inequalities for Wright-convex functions of several variables ⋮ A sequence of mappings associated with the Hermite-Hadamard inequalities and applications. ⋮ The Fejér inequality and its generalizations ⋮ Some Hermite-Hadamard type integral inequalities for convex functions defined on convex bodies in \(\mathbb{R}^n\) ⋮ Unnamed Item ⋮ Improvements of the Hermite-Hadamard inequality for the simplex ⋮ A refinement of the right-hand side of the Hermite-Hadamard inequality for simplices ⋮ The generalised Hadamard inequality, g-convexity and functional Stolarsky means ⋮ Sharp trapezoid and mid-point type inequalities on closed balls in \(\mathbb{R}^3\) ⋮ Applications of the Hermite-Hadamard inequality ⋮ Some triple integral inequalities for functions defined on three-dimensional bodies via Gauss-Ostrogradsky identity

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