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Pregled bibliografske jedinice broj: 132915

On generalization of Bullen-Simpson's inequality


Matić, Marko; Pečarić, Josip; Vukelić, Ana
On generalization of Bullen-Simpson's inequality // The Rocky Mountain journal of mathematics, 35 (2005), 5; 1727-1754 (međunarodna recenzija, članak, znanstveni)


CROSBI ID: 132915 Za ispravke kontaktirajte CROSBI podršku putem web obrasca

Naslov
On generalization of Bullen-Simpson's inequality

Autori
Matić, Marko ; Pečarić, Josip ; Vukelić, Ana

Izvornik
The Rocky Mountain journal of mathematics (0035-7596) 35 (2005), 5; 1727-1754

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

Ključne riječi
Bullen-Simpson's inequality; quadrature formulae; functions of bounded variation; Lipschitzian functions

Sažetak
Generalization of Bullen-Simpson's inequality for (2r)-convex functions is given, by using some Euler type identities. A number of inequalities, for functions whose derivatives are either functions of bounded variation or Lipschitzian functions or functions in L_p-spaces, are proved.

Izvorni jezik
Engleski

Znanstvena područja
Matematika



POVEZANOST RADA


Projekti:
0023001
0117014

Ustanove:
Fakultet elektrotehnike, strojarstva i brodogradnje, Split,
Prehrambeno-biotehnološki fakultet, Zagreb,
Tekstilno-tehnološki fakultet, Zagreb

Profili:

Avatar Url Ana Vukelić (autor)

Avatar Url Marko Matić (autor)

Avatar Url Josip Pečarić (autor)

Citiraj ovu publikaciju:

Matić, Marko; Pečarić, Josip; Vukelić, Ana
On generalization of Bullen-Simpson's inequality // The Rocky Mountain journal of mathematics, 35 (2005), 5; 1727-1754 (međunarodna recenzija, članak, znanstveni)
Matić, M., Pečarić, J. & Vukelić, A. (2005) On generalization of Bullen-Simpson's inequality. The Rocky Mountain journal of mathematics, 35 (5), 1727-1754.
@article{article, author = {Mati\'{c}, Marko and Pe\v{c}ari\'{c}, Josip and Vukeli\'{c}, Ana}, year = {2005}, pages = {1727-1754}, keywords = {Bullen-Simpson's inequality, quadrature formulae, functions of bounded variation, Lipschitzian functions}, journal = {The Rocky Mountain journal of mathematics}, volume = {35}, number = {5}, issn = {0035-7596}, title = {On generalization of Bullen-Simpson's inequality}, keyword = {Bullen-Simpson's inequality, quadrature formulae, functions of bounded variation, Lipschitzian functions} }
@article{article, author = {Mati\'{c}, Marko and Pe\v{c}ari\'{c}, Josip and Vukeli\'{c}, Ana}, year = {2005}, pages = {1727-1754}, keywords = {Bullen-Simpson's inequality, quadrature formulae, functions of bounded variation, Lipschitzian functions}, journal = {The Rocky Mountain journal of mathematics}, volume = {35}, number = {5}, issn = {0035-7596}, title = {On generalization of Bullen-Simpson's inequality}, keyword = {Bullen-Simpson's inequality, quadrature formulae, functions of bounded variation, Lipschitzian functions} }

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::


  • Mathematical Reviews





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