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Hölder and Minkowski type inequalities for pseudo-integral
- 1.0361444 - ÚTIA 2012 RIV US eng J - Journal Article
Agahi, H. - Ouyang, Y. - Mesiar, Radko - Pap, E. - Štrbojaf, M.
Hölder and Minkowski type inequalities for pseudo-integral.
Applied Mathematics and Computation. Roč. 217, č. 21 (2011), s. 8630-8639. ISSN 0096-3003. E-ISSN 1873-5649
R&D Projects: GA ČR GA402/08/0618
Institutional research plan: CEZ:AV0Z10750506
Keywords : Hölder’s inequality * Minkowski’s inequality * Pseudo-integral * Semiring
Subject RIV: BA - General Mathematics
Impact factor: 1.317, year: 2011
http://library.utia.cas.cz/separaty/2011/E/mesiar-holder and minkowski type inequalities for pseudo-integral.pdf
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.
Permanent Link: http://hdl.handle.net/11104/0198754
Number of the records: 1