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Establishment of a new inequality using extended Heinz type mean

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, , Citation G Narasimhan et al 2018 J. Phys.: Conf. Ser. 1139 012034 DOI 10.1088/1742-6596/1139/1/012034

1742-6596/1139/1/012034

Abstract

In this paper, the Extended Heinz type function is introduced, and it is proved that the function F[E](a, b;v) is a mean. Further investigated the various properties of mean such as symmetricity, homogeneity, monotonicity and convexity. As an application, some inequalities have been established.

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10.1088/1742-6596/1139/1/012034