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In this paper, we provide an extension of the Ostrowski's inequality for vector-valued functions for $k$ points via a parameter. We also provide a sharp Ostrowski-Gruss type inequality for vector valued functions for $k$ points. Our results generalize some of the results for the real-valued case in the literature.

Ostrowski and Ostrowski-Gruss type inequalities for vector-valued functions with k points via a parameter