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Pregled bibliografske jedinice broj: 571174

On the properties of McShane's functional and their applications

Krnić, Mario; Lovričević, Neda; Pečarić, Josip
On the properties of McShane's functional and their applications // Periodica mathematica Hungarica, 66 (2013), 2; 159-180 doi:10.1007/s10998-013-3571-2 (međunarodna recenzija, članak, znanstveni)

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Naslov
On the properties of McShane's functional and their applications

Autori
Krnić, Mario ; Lovričević, Neda ; Pečarić, Josip

Izvornik
Periodica mathematica Hungarica (0031-5303) 66 (2013), 2; 159-180

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

Ključne riječi
inequalities ; convex functions ; Jensen's inequality ; Jessen's functional ; McShane's functional ; superadditivity ; subadditivity ; monotonicity ; weighted generalized means ; additive inequalities ; multiplicative inequalities ; Holder type inequalities ; Minkowski type inequalities ; quasiarithmetic means ; n-convexity

Sažetak
In this paper we derive some remarkable properties of McShane's functional, defined by means of positive isotonic linear functional. These properties are then applied to weighted generalized means. Series of consequences among additive and multiplicative type mean inequalities is given, as well as a special consideration of Holder's inequality, in view of the new results.

Izvorni jezik
Engleski

Znanstvena područja
Matematika



POVEZANOST RADA

Projekti:
083-0000000-3227 - PRIMJENA ALGEBRE U GEOMETRIJI 2
036-1170889-1054 - Ocjene suma, integrala i integralnih transformacija (Elezović, Neven, MZO ) ( CroRIS)
117-1170889-0888 - Generalne nejednakosti i primjene (Pečarić, Josip, MZOS ) ( CroRIS)

Ustanove:
Fakultet elektrotehnike i računarstva, Zagreb,
Fakultet građevinarstva, arhitekture i geodezije, Split,
Tekstilno-tehnološki fakultet, Zagreb

Profili:

Avatar Url Neda Lovričević (autor)

Avatar Url Mario Krnić (autor)

Avatar Url Josip Pečarić (autor)

Poveznice na cjeloviti tekst rada:

doi link.springer.com doi.org

Citiraj ovu publikaciju:

Krnić, Mario; Lovričević, Neda; Pečarić, Josip
On the properties of McShane's functional and their applications // Periodica mathematica Hungarica, 66 (2013), 2; 159-180 doi:10.1007/s10998-013-3571-2 (međunarodna recenzija, članak, znanstveni)
Krnić, M., Lovričević, N. & Pečarić, J. (2013) On the properties of McShane's functional and their applications. Periodica mathematica Hungarica, 66 (2), 159-180 doi:10.1007/s10998-013-3571-2.
@article{article, author = {Krni\'{c}, Mario and Lovri\v{c}evi\'{c}, Neda and Pe\v{c}ari\'{c}, Josip}, year = {2013}, pages = {159-180}, DOI = {10.1007/s10998-013-3571-2}, keywords = {inequalities, convex functions, Jensen's inequality, Jessen's functional, McShane's functional, superadditivity, subadditivity, monotonicity, weighted generalized means, additive inequalities, multiplicative inequalities, Holder type inequalities, Minkowski type inequalities, quasiarithmetic means, n-convexity}, journal = {Periodica mathematica Hungarica}, doi = {10.1007/s10998-013-3571-2}, volume = {66}, number = {2}, issn = {0031-5303}, title = {On the properties of McShane's functional and their applications}, keyword = {inequalities, convex functions, Jensen's inequality, Jessen's functional, McShane's functional, superadditivity, subadditivity, monotonicity, weighted generalized means, additive inequalities, multiplicative inequalities, Holder type inequalities, Minkowski type inequalities, quasiarithmetic means, n-convexity} }
@article{article, author = {Krni\'{c}, Mario and Lovri\v{c}evi\'{c}, Neda and Pe\v{c}ari\'{c}, Josip}, year = {2013}, pages = {159-180}, DOI = {10.1007/s10998-013-3571-2}, keywords = {inequalities, convex functions, Jensen's inequality, Jessen's functional, McShane's functional, superadditivity, subadditivity, monotonicity, weighted generalized means, additive inequalities, multiplicative inequalities, Holder type inequalities, Minkowski type inequalities, quasiarithmetic means, n-convexity}, journal = {Periodica mathematica Hungarica}, doi = {10.1007/s10998-013-3571-2}, volume = {66}, number = {2}, issn = {0031-5303}, title = {On the properties of McShane's functional and their applications}, keyword = {inequalities, convex functions, Jensen's inequality, Jessen's functional, McShane's functional, superadditivity, subadditivity, monotonicity, weighted generalized means, additive inequalities, multiplicative inequalities, Holder type inequalities, Minkowski type inequalities, quasiarithmetic means, n-convexity} }

Časopis indeksira:


  • Current Contents Connect (CCC)
  • Web of Science Core Collection (WoSCC)
    • Science Citation Index Expanded (SCI-EXP)
    • SCI-EXP, SSCI i/ili A&HCI
  • Scopus

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