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Pregled bibliografske jedinice broj: 366518

A Variant of Jessen's Inequality of Mercer's Type for Superquadratic Functions


Abramovich, Shoshana; Barić, Josipa; Pečarić, Josip
A Variant of Jessen's Inequality of Mercer's Type for Superquadratic Functions // Journal of Inequalities in Pure and Applied Mathematics (JIPAM), 9 (2008), 3; 62-1 (međunarodna recenzija, članak, znanstveni)


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Naslov
A Variant of Jessen's Inequality of Mercer's Type for Superquadratic Functions

Autori
Abramovich, Shoshana ; Barić, Josipa ; Pečarić, Josip

Izvornik
Journal of Inequalities in Pure and Applied Mathematics (JIPAM) (1443-5756) 9 (2008), 3; 62-1

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
Isotonic linear functionals; Jessen's inequality; Superquadratic functions; Functional quasi-arithmetic and power means of Mercer's type.

Sažetak
A variant of Jessen's inequality for superquadratic functions is proved. This is a refinement of a variant of Jessen's inequality of Mercer's type for convex functions. The result is used to refine some comparison inequalities of Mercer's type between functional power means and between functional quasi-arithmetic means.

Izvorni jezik
Engleski

Znanstvena područja
Matematika



POVEZANOST RADA


Projekti:
177-1170889-1287 - Konveksne funkcije i primjene (Matić, Marko, MZOS ) ( CroRIS)
117-1170889-0888 - Generalne nejednakosti i primjene (Pečarić, Josip, MZOS ) ( CroRIS)

Ustanove:
Fakultet elektrotehnike, strojarstva i brodogradnje, Split,
Tekstilno-tehnološki fakultet, Zagreb

Profili:

Avatar Url Josip Pečarić (autor)

Avatar Url Josipa Barić (autor)

Citiraj ovu publikaciju:

Abramovich, Shoshana; Barić, Josipa; Pečarić, Josip
A Variant of Jessen's Inequality of Mercer's Type for Superquadratic Functions // Journal of Inequalities in Pure and Applied Mathematics (JIPAM), 9 (2008), 3; 62-1 (međunarodna recenzija, članak, znanstveni)
Abramovich, S., Barić, J. & Pečarić, J. (2008) A Variant of Jessen's Inequality of Mercer's Type for Superquadratic Functions. Journal of Inequalities in Pure and Applied Mathematics (JIPAM), 9 (3), 62-1.
@article{article, author = {Abramovich, Shoshana and Bari\'{c}, Josipa and Pe\v{c}ari\'{c}, Josip}, year = {2008}, pages = {62-1-62-13}, keywords = {Isotonic linear functionals, Jessen's inequality, Superquadratic functions, Functional quasi-arithmetic and power means of Mercer's type.}, journal = {Journal of Inequalities in Pure and Applied Mathematics (JIPAM)}, volume = {9}, number = {3}, issn = {1443-5756}, title = {A Variant of Jessen's Inequality of Mercer's Type for Superquadratic Functions}, keyword = {Isotonic linear functionals, Jessen's inequality, Superquadratic functions, Functional quasi-arithmetic and power means of Mercer's type.} }
@article{article, author = {Abramovich, Shoshana and Bari\'{c}, Josipa and Pe\v{c}ari\'{c}, Josip}, year = {2008}, pages = {62-1-62-13}, keywords = {Isotonic linear functionals, Jessen's inequality, Superquadratic functions, Functional quasi-arithmetic and power means of Mercer's type.}, journal = {Journal of Inequalities in Pure and Applied Mathematics (JIPAM)}, volume = {9}, number = {3}, issn = {1443-5756}, title = {A Variant of Jessen's Inequality of Mercer's Type for Superquadratic Functions}, keyword = {Isotonic linear functionals, Jessen's inequality, Superquadratic functions, Functional quasi-arithmetic and power means of Mercer's type.} }

Časopis indeksira:


  • Scopus


Uključenost u ostale bibliografske baze podataka::


  • MathSciNet
  • Zentrallblatt für Mathematik/Mathematical Abstracts





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