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

In: Mathematica Slovaca, vol. 66, no. 5

Iva Franjić

Detaily:

Rok, strany: 2016, 1227 - 1234

Kľúčové slová:

general two-point quadrature formula, the error, convex functions, Schur-convexity

DOI: https://doi.org/10.1515/ms-2016-0218

O článku:

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.

Ako citovať:

ISO 690:

Franjić, I. 2016. Monotonicity of error and Schur-convexity of a general two-point quadrature formula. In Mathematica Slovaca, vol. 66, no.5, pp. 1227-1234. 0139-9918. DOI: https://doi.org/10.1515/ms-2016-0218

APA:

Franjić, I. (2016). Monotonicity of error and Schur-convexity of a general two-point quadrature formula. Mathematica Slovaca, 66(5), 1227-1234. 0139-9918. DOI: https://doi.org/10.1515/ms-2016-0218

O vydaní:

Publikované: 1. 10. 2016