A three point quadrature rule for functions of bounded variation and applications

S. S. Dragomir; E. Momoniat

doi:10.1016/j.mcm.2012.07.024

A three point quadrature rule for functions of bounded variation and applications

S. S. Dragomir, E. Momoniat

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

Abstract

A three point quadrature rule approximating the Riemann integral for a function of bounded variation fby a linear combination with real coefficients of the values f(a), f(x) and f(b) with x∈ [a, b] whose sum is equal to b- a is given. Applications for special means inequalities and in establishing a priori error bounds for the approximation of selfadjoint operators in Hilbert spaces by spectral families are provided as well.

Original language	English
Pages (from-to)	612-622
Number of pages	11
Journal	Mathematical and Computer Modelling
Volume	57
Issue number	3-4
DOIs	https://doi.org/10.1016/j.mcm.2012.07.024
Publication status	Published - Feb 2013
Externally published	Yes

Keywords

Integral inequalities
Quadratures
Selfadjoint operators in Hilbert Spaces
Special means
Spectral families
Three point rules

ASJC Scopus subject areas

Modeling and Simulation
Computer Science Applications

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10.1016/j.mcm.2012.07.024

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abstract = "A three point quadrature rule approximating the Riemann integral for a function of bounded variation fby a linear combination with real coefficients of the values f(a), f(x) and f(b) with x∈ [a, b] whose sum is equal to b- a is given. Applications for special means inequalities and in establishing a priori error bounds for the approximation of selfadjoint operators in Hilbert spaces by spectral families are provided as well.",

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AB - A three point quadrature rule approximating the Riemann integral for a function of bounded variation fby a linear combination with real coefficients of the values f(a), f(x) and f(b) with x∈ [a, b] whose sum is equal to b- a is given. Applications for special means inequalities and in establishing a priori error bounds for the approximation of selfadjoint operators in Hilbert spaces by spectral families are provided as well.

KW - Integral inequalities

KW - Quadratures

KW - Selfadjoint operators in Hilbert Spaces

KW - Special means

KW - Spectral families

KW - Three point rules

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ER -

A three point quadrature rule for functions of bounded variation and applications

Abstract

Keywords

ASJC Scopus subject areas

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