Sentence examples for bound of the integral from inspiring English sources

This method provides a tighter lower bound of the integral terms of the quadratic form.

In actual environment, there is a large M that the value of PDF f is almost near to zero for the λs larger than that M. Thus, the upper bound of the integral in (54) could be decreased from infinity to M: C_{t}=2 {int_{0}^{M}} {left[{{{log}_{2}}left {text{SNR}} right) + {{log}_{2}}left({{lambda / {{N_{t}}}}} right)} right]}, fleft(lambda right)dlambda.

Second, novel integral inequalities were proposed to obtain a tighter upper bound of the integrals occurring in the time-derivative of the Lyapunov-Krasovskii functional.

In order to get less conservative results, Jensen's integral inequality, Wirtinger's integral inequality, and a free-matrix-based integral inequality are proposed to obtain a tighter upper bound of the integrals occurring in the time derivative of the Lyapunov-Krasovskii functional.

(R_N=frac{N!sqrt{pi }}{2^{N}(2N)!}f^{2N}(eta )),(eta in (-infty,infty )) is, obviously, the error bound of the above integral.

Li, Pavao and Roussarieb [11] investigated some Liénard systems of type ( 3, 2 ) with symmetry and also obtained their sharp bound of the corresponding Abelian integral.

In this section, we present an application of our result to obtain bound of the solution of a integral equation: (3.1).

In the first example, we will try to prove the global existence of the solutions of a delay differential equation, while in the second example, we will obtain the bound of the solutions of an integral equation.

The main purpose of this paper is to establish the bound of the commutator generated by the Marcinkiewicz integral and the (operatorname {RBMO}(mu)) function on the non-homogeneous metric measure spaces.

The results of the maximum lower bound of the number of zeros for the Abelian integral corresponding to this kind system can be found in [14 16].

They have proved that four is the least upper bound and three is maximum lower bound of the number of zeros for the corresponding Abelian integral.