Companion to the Ostrowski–Grüss-Type Inequality of the Chebyshev Functional with an Application

Sanja Kovač and Ana Vukelić
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Sanja Kovač: Faculty of Geotechnical Engineering, University of Zagreb, 42000 Varaždin, Croatia
Ana Vukelić: Faculty of Food and Biotechnology, University of Zagreb, 10000 Zagreb, Croatia

Mathematics, 2022, vol. 10, issue 5, 1-10

Abstract: Recently, there have been many proven results of the Ostrowski–Grüss-type inequality regarding the error bounds for the Chebyshev functional when the functions or their derivatives belong to L p spaces. In the existing literature, the main assumption in the weight-type results is that the derivative of the function is bounded by two constant functions. The aim of our paper is to extend those results in a way that the derivative of the function is bounded by two functions in L p spaces. Furthermore, we give some new error estimations of the Chebyshev functional and applications to the one-point weight integral formulas.

Keywords: Chebyshev functional; Grüss inequality; Ostrowski inequality; weight integral formula (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
References: View complete reference list from CitEc
Citations: View citations in EconPapers (2)

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