ON THE OSTROWSKI'S INTEGRAL INEQUALITY FOR MAPPINGS WITH BOUNDED VARIATION AND APPLICATIONS

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Ostrowski type inequalities for isotonic linear functionals. (2002, background): “Moreover, if one drops the continuity condition of the function, and assumes that it is of bounded variation, then the following result may be stated (see [ 4 ]).”
A Companion of Ostrowski’s Inequality for Functions of Bounded Variation and Applications (2014, background): “Introduction In [11], the author has proved the following inequality of Ostrowski type [24] for functions of bounded variation.”
Midpoint-Type Rules from an Inequalities Point of View (2019, background): “The following inequality for mappings of bounded variation holds [ 2 ]: The constant is the best possible one.”
OLDER TYPE AND u IS OF BOUNDED VARIATION AND APPLICATIONS (2001, background): “Key words and phrases.”
Refinements of the generalised trapezoid and Ostrowski inequalities for functions of bounded variation (2008, background): “In order to extend the classical Ostrowski’s inequality for differentiable functions with bounded derivatives to the larger class of functions of bounded variation, the author obtained in 1999 (see [7] or the RGMIA preprint version of [9]) the following result ∣∣∣∣∣ b ∫”