A Kind of Generalization for Hermite-Hadamard Inequality
Based on Katugampola fractional integration and logarithmic integration,Hermite-Hadamard inequali-ty has been refined and generalized.The definition of Katugampola fractional integrals of binary functions is intro-duced,and a class of Hermite-Hadamard type inequalities is established by using the convexity of univariate func-tion and the coordinated convexity of bivariate function.Hermite-Hadamard inequality,Hermite-Hadamard type fractional integral inequality and Hermite-Hadamard type logarithmic integral inequality of univariate convex func-tions and bivariate coordinated convex functions are obtained when some special function is considered.
convex functioncoordinated convex functionHermite-Hadamard inequalityKatugampola fraction-al integrallogarithmic integral
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维普
