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On the log-convexity of two-parameter homogeneous functions

On the log-convexity of two-parameter homogeneous functions

Suppose f (x, y) is a positive homogeneous function defined on U( Rp-q two-parameter homogeneous function and denote by H f (a, b; p, q) .If f (x, y) is third differentiable, then the log-convexity with respect to parameters p and q of H f (p, q) depend on the …