Alina Gavrilut, Anca Croitoru, "Classical Theorems for a Gould Type Integral," WSEAS Transactions on Mathematics, vol. 11, pp. -, 2012, DOI:
Alina Gavrilut, Anca Croitoru. Classical Theorems for a Gould Type Integral.
WSEAS Transactions on Mathematics. 2012;11:-.
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.
Keywords:
(multi)(sub)measure, semi-convex, Darboux property, diffused, atom, totally-measurable, Gould integral, Lebesgue theorem, Fatou lemma
Pages: - WSEAS Transactions on Mathematics, ISSN / E-ISSN: 1109-2769 / 2224-2880, Volume 11, 2012DOI: *As the DOI is a unique identifier, it is already available in the pdf version.
**The DOI link will be activated in the first midst of January 2026.
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