
AbstractIn this paper, we introduce a new class of convex functions, so-calledn-polynomialp-convex functions. We discuss some algebraic properties and present Hermite–Hadamard type inequalities for this generalization. Moreover, we establish some refinements of Hermite–Hadamard type inequalities for this new class.
Algebraic number, Artificial intelligence, Class (philosophy), Hermite–Hadamard type inequality, Generalization, Geometry, Convex Functions, Matrix Inequalities and Geometric Means, Matrix Valued Polynomials, Polynomial, Mathematical analysis, Orthogonal Polynomials, Proper convex function, Convex function, QA1-939, FOS: Mathematics, Biology, Hadamard transform, Hermite polynomials, Ecology, Applied Mathematics, n-polynomial p-convex functions, Pure mathematics, Stability of Functional Equations in Mathematical Analysis, Computer science, Convex optimization, Convex analysis, Regular polygon, n-polynomial convexity, Inequality, FOS: Biological sciences, Physical Sciences, p-convex function, Hermite-Hadamard Inequalities, Type (biology), Mathematics, Hypergeometric Functions
Algebraic number, Artificial intelligence, Class (philosophy), Hermite–Hadamard type inequality, Generalization, Geometry, Convex Functions, Matrix Inequalities and Geometric Means, Matrix Valued Polynomials, Polynomial, Mathematical analysis, Orthogonal Polynomials, Proper convex function, Convex function, QA1-939, FOS: Mathematics, Biology, Hadamard transform, Hermite polynomials, Ecology, Applied Mathematics, n-polynomial p-convex functions, Pure mathematics, Stability of Functional Equations in Mathematical Analysis, Computer science, Convex optimization, Convex analysis, Regular polygon, n-polynomial convexity, Inequality, FOS: Biological sciences, Physical Sciences, p-convex function, Hermite-Hadamard Inequalities, Type (biology), Mathematics, Hypergeometric Functions
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