Certain new bounds considering the weighted Simpson-like type inequality and applications.

J Inequal Appl

1Department of Mathematics, College of Science, China Three Gorges University, Yichang, China.

Published: December 2018

We investigate a weighted Simpson-type identity and obtain new estimation-type results related to the weighted Simpson-like type inequality for the first-order differentiable mappings. We also present some applications to -divergence measures and to higher moments of continuous random variables.

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http://www.ncbi.nlm.nih.gov/pmc/articles/PMC6280820PMC
http://dx.doi.org/10.1186/s13660-018-1924-3DOI Listing

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We investigate a weighted Simpson-type identity and obtain new estimation-type results related to the weighted Simpson-like type inequality for the first-order differentiable mappings. We also present some applications to -divergence measures and to higher moments of continuous random variables.

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