Some Steffensen-type inequalities over time scale measure spaces

Some Pachpatte type inequalities on time scales

Some Opial-Type Inequalities on Time Scales

and Applied Analysis 3 where r t is positive and continuous function with ∫X a dt/r t < ∞, and if x b 0, then ∫b X |x t |∣∣x′ t ∣∣dt ≤ 1 2 ∫b

Some Inequalities on Uncertain Measure

Uncertain measure is a set function satisfying normality, duality, subadditivity, and product axioms, and is used to represent the truth value of uncertain event. In order to explore uncertainty theory deeper, this paper constructs a class of inequalities on uncertain measure. These inequalities may give the upper bound or lower bound estimates of the uncertain measure for some uncertain events.

Gagliardo-nirenberg Type Inequalities in Some Q−spaces

Abstract. In this paper, from a John-Nirenberg (JN) type inequality in BMO(R), we prove Gagliardo-Nirenberg (GN) type inequalities in Qα(R ) which mean the continuous embeddings L(R)∩Qα(R ) ⊆ L(R) for −∞ < α < β, 1/2 < β ≤ 1 and 2 ≤ r ≤ p < ∞. This result generalizes some known embeddings and implies the bilinear estimates in BMO(R) which are useful for studying Navier-Stokes equations. Meanwhi...

Some Grüss Type Inequalities in Inner Product Spaces

Some new Grüss type inequalities in inner product spaces and applications for integrals are given.