Sentence examples for integral inequalities for from inspiring English sources

In this section, we prove some Pólya-Szegö type integral inequalities for positive integrable functions involving the generalized Riemann-Liouville k-fractional integral operator (1.10).

The aim of this paper is to establish several new integral inequalities for nonnegative and integrable functions that are related to the Hermite-Hadamard result.

Other integral inequalities for two functions are also established.

Other integral inequalities for two functions are obtained as well.

The paper is devoted to integral inequalities for fractional derivatives within the weighted L2 setting.

The weighted square integral inequalities for superharmonic functions are developed in [1].

In [1], Gao and Meng established a generalized Gronwall-Bellman type integral inequality, named Mate-Nevai type nonlinear integral inequality for continuous functions, which is one case of inequalities containing integration on infinite intervals for continuous functions.

In this paper, a new integral inequality for quadratic terms is first established.

In 1938, Ostrowski [1] established the following interesting integral inequality for differentiable mappings with bounded derivatives.

From page 122 of [5], we know the following Hermite-Hadamard integral inequality for convex functions.

Proof The following weighted integral inequality for all x ∈ [ a, b ] is proved in [13].