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

• Published in: Mathematics (Basel) Vol. 10; no. 5; p. 735
• Main Authors: Kovač, Sanja, Vukelić, Ana
• Format: Journal Article
• Language: English
• Published: Basel MDPI AG 01.03.2022
• Subjects: Chebyshev approximation; Chebyshev functional; Derivatives; Functionals; Functions (mathematics); Grüss inequality; Inequality; Mathematical functions; Ostrowski inequality; weight integral formula

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 Lp spaces. In the existing literature, the main assumption in the weight-type results is that the derivative...