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Information Sciences Letters

Information Sciences Letters

Abstract

Some new concepts of the strongly log convex functions are considered in this paper. Properties of the strongly convex functions are investigated under suitable conditions. The minimum of the differentiable strongly log-convex functions is characterized by variational inequality, which is itself an interesting problem. Some important special cases are discussed. It is proved that the parallelogram laws for inner product spaces can be obtained as applications of strongly log-affine functions as a novel application. Results obtained in this paper can be viewed as refinement and improvement of previously known results.

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