Publication details

Journal Article

Hölder and Minkowski type inequalities for pseudo-integral

Agahi H., Ouyang Y., Mesiar Radko, Pap E., Štrbojaf M.

: Applied Mathematics and Computation vol.217, 21 (2011), p. 8630-8639

: CEZ:AV0Z10750506

: GA402/08/0618, GA ČR

: Hölder’s inequality, Minkowski’s inequality, Pseudo-integral, Semiring

: 10.1016/j.amc.2011.03.100

: http://library.utia.cas.cz/separaty/2011/E/mesiar-holder and minkowski type inequalities for pseudo-integral.pdf

(eng): There are proven generalizations of the Hölder’s and Minkowski’s inequalities for the pseudo-integral. There are considered two cases of the real semiring with pseudo-operations: one, when pseudo-operations are defined by monotone and continuous function g, the second semiring ([a, b], sup, circled dot operator), where circled dot operator is generated and the third semiring where both pseudo-operations are idempotent, i.e., circled plus = sup and circled dot operator = inf.

: BA