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Pregled bibliografske jedinice broj: 914040

Recursively defined refinements of the integral form of Jensen's inequality


Horvath, Laszlo; Pečarić, Josip
Recursively defined refinements of the integral form of Jensen's inequality // Mathematical inequalities & applications, 19 (2016), 4; 1227-1246 doi:dx..org/10.7153/mia-19-90 (podatak o recenziji nije dostupan, članak, znanstveni)


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Naslov
Recursively defined refinements of the integral form of Jensen's inequality

Autori
Horvath, Laszlo ; Pečarić, Josip

Izvornik
Mathematical inequalities & applications (1331-4343) 19 (2016), 4; 1227-1246

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

Ključne riječi
classical and discrete Jensen’s inequality ; convex function ; generalized quasiarithmetic means ; Hermite-Hadamard inequality

Sažetak
In this paper we establish infinite chains of integral inequalities related to the classical Jensen’s inequality by using special refinements of the discrete Jensen’s inequality. As applications, we introduce and study new integral means (generalized quasi-arithmetic means), and give refinements of the left hand side of Hermite- Hadamard inequality

Izvorni jezik
Engleski

Znanstvena područja
Matematika



POVEZANOST RADA


Projekti:
HRZZ 5435

Ustanove:
Tekstilno-tehnološki fakultet, Zagreb

Profili:

Avatar Url Laszlo Horvath (autor)

Avatar Url Josip Pečarić (autor)

Poveznice na cjeloviti tekst rada:

doi

Citiraj ovu publikaciju:

Horvath, Laszlo; Pečarić, Josip
Recursively defined refinements of the integral form of Jensen's inequality // Mathematical inequalities & applications, 19 (2016), 4; 1227-1246 doi:dx..org/10.7153/mia-19-90 (podatak o recenziji nije dostupan, članak, znanstveni)
Horvath, L. & Pečarić, J. (2016) Recursively defined refinements of the integral form of Jensen's inequality. Mathematical inequalities & applications, 19 (4), 1227-1246 doi:dx..org/10.7153/mia-19-90.
@article{article, author = {Horvath, Laszlo and Pe\v{c}ari\'{c}, Josip}, year = {2016}, pages = {1227-1246}, DOI = {dx.doi.org/10.7153/mia-19-90}, keywords = {classical and discrete Jensen’s inequality, convex function, generalized quasiarithmetic means, Hermite-Hadamard inequality}, journal = {Mathematical inequalities and applications}, doi = {dx.doi.org/10.7153/mia-19-90}, volume = {19}, number = {4}, issn = {1331-4343}, title = {Recursively defined refinements of the integral form of Jensen's inequality}, keyword = {classical and discrete Jensen’s inequality, convex function, generalized quasiarithmetic means, Hermite-Hadamard inequality} }
@article{article, author = {Horvath, Laszlo and Pe\v{c}ari\'{c}, Josip}, year = {2016}, pages = {1227-1246}, DOI = {dx.doi.org/10.7153/mia-19-90}, keywords = {classical and discrete Jensen’s inequality, convex function, generalized quasiarithmetic means, Hermite-Hadamard inequality}, journal = {Mathematical inequalities and applications}, doi = {dx.doi.org/10.7153/mia-19-90}, volume = {19}, number = {4}, issn = {1331-4343}, title = {Recursively defined refinements of the integral form of Jensen's inequality}, keyword = {classical and discrete Jensen’s inequality, convex function, generalized quasiarithmetic means, Hermite-Hadamard inequality} }

Časopis indeksira:


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


Citati:





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