A comprehensive study on Milne-type inequalities with tempered fractional integrals
Boundary Value Problems(2024)
摘要
In the framework of tempered fractional integrals, we obtain a fundamental identity for differentiable convex functions. By employing this identity, we derive several modifications of fractional Milne inequalities, providing novel extensions to the domain of tempered fractional integrals. The research comprehensively examines significant functional classes, including convex functions, bounded functions, Lipschitzian functions, and functions of bounded variation.
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关键词
26D15,26D10,26D07,Inequalities of Milne type,Fractional version,Tempered fractional integrals,Convex functions
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