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Dynamic Inequalities for Convex Functions Harmonized on Time Scales

         

摘要

We present here some general fractional Schl?milch’s type and Rogers-H?lder’s type dynamic inequalities for convex functions harmonized on time scales. First we present general fractional Schl?milch’s type dynamic inequalities and generalize it for convex functions of several variables by using Bernoulli’s inequality, generalized Jensen’s inequality and Fubini’s theorem on diamond-α calculus. To conclude our main results, we present general fractional Rogers-H?lder’s type dynamic inequalities for convex functions by using general fractional Schl?milch’s type dynamic inequality on diamond-α calculus for pi>1 with .

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