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Canadian Journal of Mathematics, 1949
Since the classical work of Minkowski and Jensen it is well known that many of the inequalities used in analysis may be considered as consequences of the convexity of certain functions. In several of these inequalities pairs of “conjugate” functions occur, for instance pairs of powers with exponents a and a related by 1/a + 1/a = 1.
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Since the classical work of Minkowski and Jensen it is well known that many of the inequalities used in analysis may be considered as consequences of the convexity of certain functions. In several of these inequalities pairs of “conjugate” functions occur, for instance pairs of powers with exponents a and a related by 1/a + 1/a = 1.
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The application of convex function and GA-convex function
Theoretical and Natural ScienceA convex function is a function that maps from a convex subset of a vector space to the set of real numbers. Convex functions have some important properties, such as non-negativity, monotonicity, and convexity, which can help us derive and prove inequalities.
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Hankel determinants for starlike and convex functions associated with sigmoid functions
Forum Mathematicum, 2022Mohsan Raza, D K Thomas
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Hadamard-type inequalities for s-convex functions
Applied Mathematics and Computation, 2007Milica Klaričić Bakula, Josip Pecaric
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Janowski Type q-Convex and q-Close-to-Convex Functions Associated with q-Conic Domain
Mathematics, 2020Saqib Hussain +2 more
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Hermite-Hadamard Type Inequalities for the Class of Convex Functions on Time Scale
Mathematics, 2019Saima Rashid +2 more
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