Hölder and Minkowski type inequalities for pseudo-integral

Hamzeh Agahi, Yao Ouyang, Radko Mesiar, E. Pap, Mirjana Štrboja

Research output: Contribution to journalArticle

41 Citations (Scopus)

Abstract

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, ⊙), where ⊙ is generated and the third semiring where both pseudo-operations are idempotent, i.e., ⊕ = sup and ⊙ = inf.

Original languageEnglish
Pages (from-to)8630-8639
Number of pages10
JournalApplied Mathematics and Computation
Volume217
Issue number21
DOIs
Publication statusPublished - Jul 1 2011

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Semiring
Minkowski's inequality
Monotone Function
Idempotent
Continuous Function

Keywords

  • Hölder's inequality
  • Minkowski's inequality
  • Pseudo-addition
  • Pseudo-integral
  • Pseudo-multiplication
  • Semiring

ASJC Scopus subject areas

  • Applied Mathematics
  • Computational Mathematics

Cite this

Hölder and Minkowski type inequalities for pseudo-integral. / Agahi, Hamzeh; Ouyang, Yao; Mesiar, Radko; Pap, E.; Štrboja, Mirjana.

In: Applied Mathematics and Computation, Vol. 217, No. 21, 01.07.2011, p. 8630-8639.

Research output: Contribution to journalArticle

Agahi, Hamzeh ; Ouyang, Yao ; Mesiar, Radko ; Pap, E. ; Štrboja, Mirjana. / Hölder and Minkowski type inequalities for pseudo-integral. In: Applied Mathematics and Computation. 2011 ; Vol. 217, No. 21. pp. 8630-8639.
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