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Pregled bibliografske jedinice broj: 854579

Application of functionals in creating inequalities


Pavić, Zlatko; Wu, Shanhe; Novoselac, Vedran
Application of functionals in creating inequalities // Journal of Function Spaces, 2016 (2016), 2016; 9324804-1 doi:10.1155/2016/9324804 (međunarodna recenzija, članak, znanstveni)


CROSBI ID: 854579 Za ispravke kontaktirajte CROSBI podršku putem web obrasca

Naslov
Application of functionals in creating inequalities

Autori
Pavić, Zlatko ; Wu, Shanhe ; Novoselac, Vedran

Izvornik
Journal of Function Spaces (2314-8896) 2016 (2016), 2016; 9324804-1

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

Ključne riječi
positive linear functional ; convex function ; the Jensen inequality ; the Fejér inequality ; the Hermite-Hadamard inequality

Sažetak
The paper deals with the fundamental inequalities for convex functions in the bounded closed interval. The main inequality includes convex functions and positive linear functionals extending and refining the functional form of Jensen's inequality. This inequality implies the Jensen, Fejér, and thus Hermite-Hadamard inequality, as well as their refinements.

Izvorni jezik
Engleski

Znanstvena područja
Matematika



POVEZANOST RADA


Ustanove:
Strojarski fakultet, Slavonski Brod

Profili:

Avatar Url Zlatko Pavić (autor)

Avatar Url Vedran Novoselac (autor)

Poveznice na cjeloviti tekst rada:

doi dx.doi.org www.hindawi.com

Citiraj ovu publikaciju:

Pavić, Zlatko; Wu, Shanhe; Novoselac, Vedran
Application of functionals in creating inequalities // Journal of Function Spaces, 2016 (2016), 2016; 9324804-1 doi:10.1155/2016/9324804 (međunarodna recenzija, članak, znanstveni)
Pavić, Z., Wu, S. & Novoselac, V. (2016) Application of functionals in creating inequalities. Journal of Function Spaces, 2016 (2016), 9324804-1 doi:10.1155/2016/9324804.
@article{article, author = {Pavi\'{c}, Zlatko and Wu, Shanhe and Novoselac, Vedran}, year = {2016}, pages = {9324804-1-9324804-6}, DOI = {10.1155/2016/9324804}, keywords = {positive linear functional, convex function, the Jensen inequality, the Fej\'{e}r inequality, the Hermite-Hadamard inequality}, journal = {Journal of Function Spaces}, doi = {10.1155/2016/9324804}, volume = {2016}, number = {2016}, issn = {2314-8896}, title = {Application of functionals in creating inequalities}, keyword = {positive linear functional, convex function, the Jensen inequality, the Fej\'{e}r inequality, the Hermite-Hadamard inequality} }
@article{article, author = {Pavi\'{c}, Zlatko and Wu, Shanhe and Novoselac, Vedran}, year = {2016}, pages = {9324804-1-9324804-6}, DOI = {10.1155/2016/9324804}, keywords = {positive linear functional, convex function, the Jensen inequality, the Fej\'{e}r inequality, the Hermite-Hadamard inequality}, journal = {Journal of Function Spaces}, doi = {10.1155/2016/9324804}, volume = {2016}, number = {2016}, issn = {2314-8896}, title = {Application of functionals in creating inequalities}, keyword = {positive linear functional, convex function, the Jensen inequality, the Fej\'{e}r inequality, the Hermite-Hadamard inequality} }

Časopis indeksira:


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


Uključenost u ostale bibliografske baze podataka::


  • MathSciNet


Citati:





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