However, similar ideas had been used before and go back at least to the introduction of the Riemann-Stieltjes integral which unifies sums and integrals.
We shall denote | g | ( O ) : = ∫ O | g | d x ~ therefore adopting a unified notation for both measures and integrals of L 1 -maps.
Such a mechanism is also an integral part of the currently favored unified model, where a balance between direct activation and indirect activation ultimately yields control of intrinsic apoptosis.
Our results unify and extend some integral inequalities and their corresponding discrete analogues.
Our results unify and extend some integral inequalities and their corresponding discrete analogues which established by Pachpatte.
Recently, Krulić et al. [10] unified the all above results in an abstract way by introducing the Hardy-Knopp type integral operator (A_{k}) in the measure space.
He played in Fate Marable's riverboat bands (1917) before becoming an integral part of King Oliver's Creole Jazz Band (1920 24), one of the most closely unified of all jazz ensembles.
