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Pregled bibliografske jedinice broj: 232959

A variant of Jensen's inequality in Hilbert space


Matković, Anita; Pečarić, Josip
A variant of Jensen's inequality in Hilbert space // Toyama Mathematical Journal, 28 (2005), 93-103 (međunarodna recenzija, članak, znanstveni)


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Naslov
A variant of Jensen's inequality in Hilbert space

Autori
Matković, Anita ; Pečarić, Josip

Izvornik
Toyama Mathematical Journal (0916-6009) 28 (2005); 93-103

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

Ključne riječi
Jensen's inequality for selfadjoint operators ; monotonicity property of power means of Mercer's type ; quasi-arithmetic means

Sažetak
A variant of Jensen's inequality for selfadjoint operators on a Hilbert space, which is a generalization of Mercer's result, is proved. Obtained result is used to prove a monotonicity property for Mercer's power means, and a comparision theorem for related quasi- arithmetic means.

Izvorni jezik
Engleski

Znanstvena područja
Matematika



POVEZANOST RADA


Projekti:
0117014

Ustanove:
Tekstilno-tehnološki fakultet, Zagreb,
Prirodoslovno-matematički fakultet, Split

Profili:

Avatar Url Josip Pečarić (autor)

Avatar Url Anita Matković (autor)


Citiraj ovu publikaciju:

Matković, Anita; Pečarić, Josip
A variant of Jensen's inequality in Hilbert space // Toyama Mathematical Journal, 28 (2005), 93-103 (međunarodna recenzija, članak, znanstveni)
Matković, A. & Pečarić, J. (2005) A variant of Jensen's inequality in Hilbert space. Toyama Mathematical Journal, 28, 93-103.
@article{article, author = {Matkovi\'{c}, Anita and Pe\v{c}ari\'{c}, Josip}, year = {2005}, pages = {93-103-103}, keywords = {Jensen's inequality for selfadjoint operators, monotonicity property of power means of Mercer's type, quasi-arithmetic means}, journal = {Toyama Mathematical Journal}, volume = {28}, issn = {0916-6009}, title = {A variant of Jensen's inequality in Hilbert space}, keyword = {Jensen's inequality for selfadjoint operators, monotonicity property of power means of Mercer's type, quasi-arithmetic means} }
@article{article, author = {Matkovi\'{c}, Anita and Pe\v{c}ari\'{c}, Josip}, year = {2005}, pages = {93-103-103}, keywords = {Jensen's inequality for selfadjoint operators, monotonicity property of power means of Mercer's type, quasi-arithmetic means}, journal = {Toyama Mathematical Journal}, volume = {28}, issn = {0916-6009}, title = {A variant of Jensen's inequality in Hilbert space}, keyword = {Jensen's inequality for selfadjoint operators, monotonicity property of power means of Mercer's type, quasi-arithmetic means} }

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  • Mathematical Reviews





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