Geodesic
A Parameter-Based Ostrowski Type Inequality for Functions whose Derivatives Belongs to $L_p([a,b])$ Involving Multiple Points
Kragujevac Journal of Mathematics, Tome 47 (2023) no. 3, p. 445

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A new generalization of Ostrowski's inequality for functions whose derivatives belong to $L_p([a,b])$ $(1\leq p\infty)$ for $k$ points via a parameter is provided. Some particular integral inequalities are derived as by products. Our results generalize some results in the literature.
Classification : 26D15 26D10, 43A15
Keywords: Ostrowski's inequality, midpoint inequality, Simpson's inequality, Montgomery identity, Hölder's inequality, parameter 
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     title = {A {Parameter-Based} {Ostrowski} {Type} {Inequality} for {Functions} whose {Derivatives} {Belongs} to $L_p([a,b])$ {Involving} {Multiple} {Points}},
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Seth Kermausuor. A Parameter-Based Ostrowski Type Inequality for Functions whose Derivatives Belongs to $L_p([a,b])$ Involving Multiple Points. Kragujevac Journal of Mathematics, Tome 47 (2023) no. 3, p. 445 . http://geodesic.mathdoc.fr/item/KJM_2023_47_3_a8/