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Hermite-Hadamard-type inequalities for the generalized geometrically strongly modified \(h\)-convex functions - MaRDI portal

Hermite-Hadamard-type inequalities for the generalized geometrically strongly modified \(h\)-convex functions (Q2666468)

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Hermite-Hadamard-type inequalities for the generalized geometrically strongly modified \(h\)-convex functions
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    Hermite-Hadamard-type inequalities for the generalized geometrically strongly modified \(h\)-convex functions (English)
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    22 November 2021
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    Summary: Convexity theory becomes a hot area of research due to its applications in pure and applied mathematics, especially in optimization theory. The aim of this paper is to introduce a broader class of convex functions by unifying geometrically strong convex function with \(h\) convex functions. This new class of functions is called as generalized geometrically strongly modified \(h\)-convex functions. We established Hermite-Hadamard-type inequalities for the generalized geometrically strongly modified \(h\)-convex functions. Our results can be considered as generalization and extension of literature.
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