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Pregled bibliografske jedinice broj: 707214

Monotonicity of error and Schur-convexity of a general two-point quadrature formula


Franjić, Iva
Monotonicity of error and Schur-convexity of a general two-point quadrature formula // Mathematica slovaca, 66 (2016), 5; 1227-1234 doi:10.1515/ms-2016-0218 (međunarodna recenzija, članak, znanstveni)


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Naslov
Monotonicity of error and Schur-convexity of a general two-point quadrature formula

Autori
Franjić, Iva

Izvornik
Mathematica slovaca (0139-9918) 66 (2016), 5; 1227-1234

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

Ključne riječi
general two-point quadrature formula ; the error ; convex functions ; Schur-convexity

Sažetak
In this work, the behaviour of the error of a general two-point quadrature formula is studied. It is established that the error in question has a monotonicity property and that this is equivalent to the fact that the function defined as the difference of the average value of the integral and the quadrature - that is, the error - is Schur-convex.

Izvorni jezik
Engleski

Znanstvena područja
Matematika



POVEZANOST RADA


Projekti:
--IP-2013-11-5435 - Nejednakosti i primjene (INEQUALITIES) (Pečarić, Josip) ( CroRIS)

Ustanove:
Prehrambeno-biotehnološki fakultet, Zagreb

Profili:

Avatar Url Iva Franjić (autor)

Poveznice na cjeloviti tekst rada:

doi

Citiraj ovu publikaciju:

Franjić, Iva
Monotonicity of error and Schur-convexity of a general two-point quadrature formula // Mathematica slovaca, 66 (2016), 5; 1227-1234 doi:10.1515/ms-2016-0218 (međunarodna recenzija, članak, znanstveni)
Franjić, I. (2016) Monotonicity of error and Schur-convexity of a general two-point quadrature formula. Mathematica slovaca, 66 (5), 1227-1234 doi:10.1515/ms-2016-0218.
@article{article, author = {Franji\'{c}, Iva}, year = {2016}, pages = {1227-1234}, DOI = {10.1515/ms-2016-0218}, keywords = {general two-point quadrature formula, the error, convex functions, Schur-convexity}, journal = {Mathematica slovaca}, doi = {10.1515/ms-2016-0218}, volume = {66}, number = {5}, issn = {0139-9918}, title = {Monotonicity of error and Schur-convexity of a general two-point quadrature formula}, keyword = {general two-point quadrature formula, the error, convex functions, Schur-convexity} }
@article{article, author = {Franji\'{c}, Iva}, year = {2016}, pages = {1227-1234}, DOI = {10.1515/ms-2016-0218}, keywords = {general two-point quadrature formula, the error, convex functions, Schur-convexity}, journal = {Mathematica slovaca}, doi = {10.1515/ms-2016-0218}, volume = {66}, number = {5}, issn = {0139-9918}, title = {Monotonicity of error and Schur-convexity of a general two-point quadrature formula}, keyword = {general two-point quadrature formula, the error, convex functions, Schur-convexity} }

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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