Sentence examples for be a harmonic convex from inspiring English sources

Let be a harmonic convex set a function is called a harmonic convex (or concave, resp).

Fact A. If is a harmonic convex set and is a harmonic convex function, then (2.1). is a concave function.

It is easy to see that is a harmonic convex set if and only if is a convex set.

Assume that (f:[0,1]tomathbb{R}) is a differentiable function such that (vert f^{prime} vert ^{q}) is a harmonic convex function on [0,1].

Assume that (f:[0,1]rightarrowmathbb{R}) is a differentiable function such that (vert f^{prime} vert ^{q}) is a harmonic convex function on ([0,1]).

A set is called a harmonic convex set if whenever.

Let be a symmetric harmonic convex set with nonempty interior, and let be a continuous symmetry function on.

The function f is said to be harmonic convex if f biggl( frac{xy}{tx+ 1-t y}{tx+ 1-t yq tf(y)+(1-t)f(x) (2.1) for all (x,yin I) and (tin0,1]).

Conversely, if is a convex set and is a convex function, then (2.2). is a harmonic concave function.

Hawkins was a harmonic improviser, his inventions manipulating the chords.

This equation is a harmonic oscillator resolution.