Logarithmic convexity and geometric programming

DOI10.1016/0022-247X(68)90039-5zbMath0301.90034MaRDI QIDQ1215458

Allen Klinger, Olvi L. Mangasarian

Publication date: 1968

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Mathematics Subject Classification ID

Convex programming (90C25) Nonlinear programming (90C30) Stochastic programming (90C15)

Related Items

A method for the determination of the minimax, Log-concavity and other concepts of bivariate increasing failure rate distributions, Pseudo-duality in mathematical programs with quotients and products, Multivariate semi-markov matrices, r-convex functions, G-saddle point criteria andG-Wolfe duality in differentiate mathematical programming, Unnamed Item, On harmonic convexity (concavity) and application to non-linear programming problems., Towards a unified type of concavity, Characterizations of \(r\)-convex functions, Global solutions of mathematical programs with intrinsically concave functions, Flexible contracting. Theory and case examples, Generalization of convex and related functions, Choquet integrals of \(r\)-convex functions

Cites Work

• Minmax and duality in nonlinear programming
• Strictly quasi-convex (concave) functions and duality in mathematical programming
• On Pólya frequency functions. I. The totally positive functions and their Laplace transforms
• Quasi-Concave Programming
• A duality theorem for non-linear programming
• Constraint qualifications in maximization problems
• Pseudo-Convex Functions
• Seven Kinds of Convexity
• Control with stochastic stopping time†
• Properties of Probability Distributions with Monotone Hazard Rate
• Dual Programs [Letter to the Editor]
• Generalized convex functions
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