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Pregled bibliografske jedinice broj: 157994

Inequalities of Furuta and Mond-Pečarić

Mićić, Jadranka; Seo, Yuki; Takahasi, Sin-Ei; Tominaga, Masaru
Inequalities of Furuta and Mond-Pečarić // Mathematical inequalities & applications, 2 (1999), -; 83-112 (međunarodna recenzija, članak, znanstveni)

CROSBI ID: 157994 Za ispravke kontaktirajte CROSBI podršku putem web obrasca

Naslov
Inequalities of Furuta and Mond-Pečarić

Autori
Mićić, Jadranka ; Seo, Yuki ; Takahasi, Sin-Ei ; Tominaga, Masaru

Izvornik
Mathematical inequalities & applications (1331-4343) 2 (1999); 83-112

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

Ključne riječi
operator inequality; Kantorovich inequality; Jensen's inequality

Sažetak
Furuta gives extensions of inequalities due to Ky Fan and Mond-Pečarić which are associated with Holder-McCarthy and Kantorovich type inequalities. In this paper, inspired by Furuta's idea, we shall generalize a theorem by Mond-Pečarić on the converse of Jensen's inequality. It explains us Furuta's generalizations well. As applications, we shall show general difference and ratio inequalities that can be given for several positive operators on a Hilbert space and positive definite Hermitian matrices.

Izvorni jezik
Engleski

Znanstvena područja
Matematika



POVEZANOST RADA

Projekti:
0117014

Ustanove:
Tekstilno-tehnološki fakultet, Zagreb

Profili:

Avatar Url Jadranka Mićić Hot (autor)

Citiraj ovu publikaciju:

Mićić, Jadranka; Seo, Yuki; Takahasi, Sin-Ei; Tominaga, Masaru
Inequalities of Furuta and Mond-Pečarić // Mathematical inequalities & applications, 2 (1999), -; 83-112 (međunarodna recenzija, članak, znanstveni)
Mićić, J., Seo, Y., Takahasi, S. & Tominaga, M. (1999) Inequalities of Furuta and Mond-Pečarić. Mathematical inequalities & applications, 2 (-), 83-112.
@article{article, author = {Mi\'{c}i\'{c}, Jadranka and Seo, Yuki and Takahasi, Sin-Ei and Tominaga, Masaru}, year = {1999}, pages = {83-112}, keywords = {operator inequality, Kantorovich inequality, Jensen's inequality}, journal = {Mathematical inequalities and applications}, volume = {2}, number = {-}, issn = {1331-4343}, title = {Inequalities of Furuta and Mond-Pe\v{c}ari\'{c}}, keyword = {operator inequality, Kantorovich inequality, Jensen's inequality} }
@article{article, author = {Mi\'{c}i\'{c}, Jadranka and Seo, Yuki and Takahasi, Sin-Ei and Tominaga, Masaru}, year = {1999}, pages = {83-112}, keywords = {operator inequality, Kantorovich inequality, Jensen's inequality}, journal = {Mathematical inequalities and applications}, volume = {2}, number = {-}, issn = {1331-4343}, title = {Inequalities of Furuta and Mond-Pe\v{c}ari\'{c}}, keyword = {operator inequality, Kantorovich inequality, Jensen's inequality} }

Časopis indeksira:


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

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