Zhong Bo Fang, Ren-jie SHI
Abstract
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In this paper, we introduce a new class of (p, h)-convex functions which generalize P-functions and convex, h, p, s-convex, Godunova-Levin functions, and we give some properties of the functions.Moreover, we establish the corresponding Schur, Jensen, and Hadamard types of inequalities.
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In this paper, we introduce a new class of (p, h)-convex functions which generalize P-functions and convex, h, p, s-convex, Godunova-Levin functions, and we give some properties of the functions.Moreover, we establish the corresponding Schur, Jensen, and Hadamard types of inequalities.
Key concepts: Mathematics, Convex function, Logarithmically convex function, Hadamard transform, Regular polygon, Pure mathematics, Proper convex function, Class (philosophy)