Počet záznamů: 1

Hölder and Minkowski type inequalities for pseudo-integral

  1. 1.
    0361444 - UTIA-B 2012 RIV US eng J - Článek v odborném periodiku
    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
    Grant CEP: GA ČR GA402/08/0618
    Výzkumný záměr: CEZ:AV0Z10750506
    Klíčová slova: Hölder’s inequality * Minkowski’s inequality * Pseudo-integral * Semiring
    Kód oboru RIV: BA - Obecná matematika
    Impakt faktor: 1.317, rok: 2011
    http://library.utia.cas.cz/separaty/2011/E/mesiar-holder and minkowski type inequalities for pseudo-integral.pdf 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.
    Trvalý link: http://hdl.handle.net/11104/0198754