Generalization of the Jensen inequality for pseudo-integral

作者：Pap Endre^*; Strboja Mirjana

来源：Information Sciences, 2010, 180(4): 543-548.

DOI：10.1016/j.ins.2009.10.014

• Jensen's inequality
• Semiring
• Pseudo-addition
• Pseudo-multiplication
• Pseudo-integral

Generalizations of the Jensen integral inequality for the pseudo-integral are proven. There are considered two cases of the real semiring with pseudo-operations: one, when pseudo-operations are defined by monotone and continuous function g (then the pseudo-integral reduces on g-integral), and the second semiring ([a, b], max, circle dot), where the pseudo-multiplication circle dot is generated.

• 出版日期2010-2-15