Sentence examples for integral preserving from inspiring English sources

In particular, we obtain some inclusion relationships and integral preserving properties of this class of functions.

Further, certain integral preserving properties are also established with these classes.

Some properties such as inclusion, radius problem and integral preserving are considered.

This work includes certain geometric properties like sufficiency criteria, coefficient estimates, arc length, the growth rate of coefficients of Taylor series, integral preserving properties of these functions.

In the present paper, we derive some inclusion relations, convolution properties and integral preserving properties for the class M λ, μ n ( γ ; h ).

Then, the second constraint function is convex given that exponential function e x p and the integral preserves convexity.

It is not difficult to find that the optimization problem defined in (5) satisfies the time-sharing condition which was introduced in [17], that is, the objective function is concave and the constraint 5c) is convex given that RS m n is concave in p m n and that the integral preserves concavity.

Firstly, the objective function in P2 is convex given that ω 1(p p +p sp +p ss )+ω 2 t s is linear with respect to p p,p sp,p ss,t s and that the integral preserves convexity.

It has been shown, under a proper regularization of the integrals preserving the group structure underlying the theory, that graphs topologically equivalent to sphere dominate the partition function when the only cutoff is sent to infinity in the renormalized couplings.

Considering that exponential function e x p and the integral preserve convexity, the first constraint function in P2 is convex.

It is personal participation that has made these organizations so integral to preserving both society's fabric and individual health, Mr. Putnam says.