In this paper, we obtain some Jensen's and Hermite-Hadamard's type inequalities for lower, upper, and strongly convexfunctions defined on convex subsets in normed linear spaces. The case of inner product spac...
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In this paper, we obtain some Jensen's and Hermite-Hadamard's type inequalities for lower, upper, and strongly convexfunctions defined on convex subsets in normed linear spaces. The case of inner product space is of interest since in these case the concepts of lowerconvexity and strong convexity coincides. Applications for univariate functions of real variable and the connections with earlier Hermite-Hadamard's type inequalities are also provided.
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