WSEAS Transactions on Mathematics
Print ISSN: 1109-2769, E-ISSN: 2224-2880
Volume 11, 2012
Classical Theorems for a Gould Type Integral
Authors: ,
Abstract: In this paper, we continue the study of the Gould type integral introduced in [30] which generalizes the results of [12, 13, 17, 28] and [29]. We obtain various classical properties, such as a mean type theorem, a Lebesgue (Fatou respectively) type theorem, H¨older and Minkowski inequalities etc. Other results concerning measurability, semi-convexity, diffusion and atoms are also established.