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Pregled bibliografske jedinice broj: 686191

On Jensen's and Hermite-Hadamard's inequality


Pavić, Zlatko; Novoselac, Vedran
On Jensen's and Hermite-Hadamard's inequality // International journal of research and reviews in applied sciences, 17 (2013), 3; 1-9 (međunarodna recenzija, članak, znanstveni)


CROSBI ID: 686191 Za ispravke kontaktirajte CROSBI podršku putem web obrasca

Naslov
On Jensen's and Hermite-Hadamard's inequality

Autori
Pavić, Zlatko ; Novoselac, Vedran

Izvornik
International journal of research and reviews in applied sciences (2076-734X) 17 (2013), 3; 1-9

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

Ključne riječi
convex combination ; affine combination ; convex function ; Jensen's inequality ; Hermite-Hadamard's inequality

Sažetak
The article deals with the generalizations of Jensen's inequality in the discrete and integral form. One generalization of Hermite-Hadamard's inequality is also presented. The transition from discrete to integral means is realized using the integral method with convex combinations.

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
On Jensen's and Hermite-Hadamard's inequality // International journal of research and reviews in applied sciences, 17 (2013), 3; 1-9 (međunarodna recenzija, članak, znanstveni)
Pavić, Z. & Novoselac, V. (2013) On Jensen's and Hermite-Hadamard's inequality. International journal of research and reviews in applied sciences, 17 (3), 1-9.
@article{article, author = {Pavi\'{c}, Zlatko and Novoselac, Vedran}, year = {2013}, pages = {1-9}, keywords = {convex combination, affine combination, convex function, Jensen's inequality, Hermite-Hadamard's inequality}, journal = {International journal of research and reviews in applied sciences}, volume = {17}, number = {3}, issn = {2076-734X}, title = {On Jensen's and Hermite-Hadamard's inequality}, keyword = {convex combination, affine combination, convex function, Jensen's inequality, Hermite-Hadamard's inequality} }
@article{article, author = {Pavi\'{c}, Zlatko and Novoselac, Vedran}, year = {2013}, pages = {1-9}, keywords = {convex combination, affine combination, convex function, Jensen's inequality, Hermite-Hadamard's inequality}, journal = {International journal of research and reviews in applied sciences}, volume = {17}, number = {3}, issn = {2076-734X}, title = {On Jensen's and Hermite-Hadamard's inequality}, keyword = {convex combination, affine combination, convex function, Jensen's inequality, Hermite-Hadamard's inequality} }

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