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Pregled bibliografske jedinice broj: 712672

Discrete and integral variants of the Jensen type inequalities


Pavić, Zlatko; Novoselac, Vedran
Discrete and integral variants of the Jensen type inequalities // Journal of pure and applied mathematics : advances and applications, 12 (2014), 1; 25-38 (međunarodna recenzija, članak, znanstveni)


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Naslov
Discrete and integral variants of the Jensen type inequalities

Autori
Pavić, Zlatko ; Novoselac, Vedran

Izvornik
Journal of pure and applied mathematics : advances and applications (0974-9381) 12 (2014), 1; 25-38

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

Ključne riječi
convex function ; convex combination ; barycenter ; quasi-arithmetic mean

Sažetak
We consider inequalities concerning convex functions and convex combinations with the common center. Including convex combinations to the integral method, the obtained discrete inequalities are transformed to integral inequalities. The results are applied to quasi-arithmetic means and the Hermite-Hadamard inequality.

Izvorni jezik
Engleski

Znanstvena područja
Matematika



POVEZANOST RADA


Ustanove:
Strojarski fakultet, Slavonski Brod

Profili:

Avatar Url Zlatko Pavić (autor)

Avatar Url Vedran Novoselac (autor)

Citiraj ovu publikaciju:

Pavić, Zlatko; Novoselac, Vedran
Discrete and integral variants of the Jensen type inequalities // Journal of pure and applied mathematics : advances and applications, 12 (2014), 1; 25-38 (međunarodna recenzija, članak, znanstveni)
Pavić, Z. & Novoselac, V. (2014) Discrete and integral variants of the Jensen type inequalities. Journal of pure and applied mathematics : advances and applications, 12 (1), 25-38.
@article{article, author = {Pavi\'{c}, Zlatko and Novoselac, Vedran}, year = {2014}, pages = {25-38}, keywords = {convex function, convex combination, barycenter, quasi-arithmetic mean}, journal = {Journal of pure and applied mathematics : advances and applications}, volume = {12}, number = {1}, issn = {0974-9381}, title = {Discrete and integral variants of the Jensen type inequalities}, keyword = {convex function, convex combination, barycenter, quasi-arithmetic mean} }
@article{article, author = {Pavi\'{c}, Zlatko and Novoselac, Vedran}, year = {2014}, pages = {25-38}, keywords = {convex function, convex combination, barycenter, quasi-arithmetic mean}, journal = {Journal of pure and applied mathematics : advances and applications}, volume = {12}, number = {1}, issn = {0974-9381}, title = {Discrete and integral variants of the Jensen type inequalities}, keyword = {convex function, convex combination, barycenter, quasi-arithmetic mean} }

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