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Pregled bibliografske jedinice broj: 795230

Schur-convexity and monotonicity of error of a general three-point quadrature formula


Franjić, Iva
Schur-convexity and monotonicity of error of a general three-point quadrature formula // Lithuanian Mathematical Journal, 56 (2016), 1; 60-71 doi:10.1007/s10986-016-9304-5 (međunarodna recenzija, članak, znanstveni)


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Naslov
Schur-convexity and monotonicity of error of a general three-point quadrature formula

Autori
Franjić, Iva

Izvornik
Lithuanian Mathematical Journal (0363-1672) 56 (2016), 1; 60-71

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

Ključne riječi
Schur-convexity; general three-point quadrature formula; 4-convex functions; Bernoulli polynomials

Sažetak
We study a general three-point quadrature formula and give necessary and sufficient conditions for this type of quadrature formula to be Schur-convex. A quadrature formula being Schur-convex implies the following: if we consider two intervals, one of which contains the other and such that share the same midpoint, then the error of this quadrature formula is smaller on a smaller interval.

Izvorni jezik
Engleski

Znanstvena područja
Matematika



POVEZANOST RADA


Ustanove:
Prehrambeno-biotehnološki fakultet, Zagreb

Profili:

Avatar Url Iva Franjić (autor)

Poveznice na cjeloviti tekst rada:

doi

Citiraj ovu publikaciju:

Franjić, Iva
Schur-convexity and monotonicity of error of a general three-point quadrature formula // Lithuanian Mathematical Journal, 56 (2016), 1; 60-71 doi:10.1007/s10986-016-9304-5 (međunarodna recenzija, članak, znanstveni)
Franjić, I. (2016) Schur-convexity and monotonicity of error of a general three-point quadrature formula. Lithuanian Mathematical Journal, 56 (1), 60-71 doi:10.1007/s10986-016-9304-5.
@article{article, author = {Franji\'{c}, Iva}, year = {2016}, pages = {60-71}, DOI = {10.1007/s10986-016-9304-5}, keywords = {Schur-convexity, general three-point quadrature formula, 4-convex functions, Bernoulli polynomials}, journal = {Lithuanian Mathematical Journal}, doi = {10.1007/s10986-016-9304-5}, volume = {56}, number = {1}, issn = {0363-1672}, title = {Schur-convexity and monotonicity of error of a general three-point quadrature formula}, keyword = {Schur-convexity, general three-point quadrature formula, 4-convex functions, Bernoulli polynomials} }
@article{article, author = {Franji\'{c}, Iva}, year = {2016}, pages = {60-71}, DOI = {10.1007/s10986-016-9304-5}, keywords = {Schur-convexity, general three-point quadrature formula, 4-convex functions, Bernoulli polynomials}, journal = {Lithuanian Mathematical Journal}, doi = {10.1007/s10986-016-9304-5}, volume = {56}, number = {1}, issn = {0363-1672}, title = {Schur-convexity and monotonicity of error of a general three-point quadrature formula}, keyword = {Schur-convexity, general three-point quadrature formula, 4-convex functions, Bernoulli polynomials} }

Časopis indeksira:


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


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  • MathSciNet


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