Abstract: We present two new classes of orthogonal functions, log orthogonal functions and generalized log orthogonal functions, which are constructed by applying a $\log $ mapping to Laguerre ...

In this paper, we present new inequalities for log-convex functions, with some applications to operator means. The significance of the obtained results is two folded; the results themselves and the ...

Harmonic mappings are functions that satisfy Laplace’s equation and are frequently encountered in the study of potential theory, fluid dynamics, and geometric function theory.

The log-likelihood is just the (natural, usually) logarithm of the ordinary likelihood function. It is numerically easier to work with, and since log is a monotonic function, equivalent.<BR><BR ...

One of the classic observations in investment theory is that maximizing the expected-log-return of a portfolio results in the greatest long-term growth of wealth. The log-optimal portfolio is both ...

Max-stable processes arise as the only possible nontrivial limits for maxima of affinely normalized identically distributed stochastic processes, and thus form an important class of models for the ...