New integral inequalities involving beta function via $P$-convexity

By Wenjun Liu. 2014

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In this note we establish some estimates, involving the Euler Beta function, of the integral R b a .x a/ p.b x/qf .x/dx for functions when a power of the absolute value isP convex. An extension to functions of several variables is also obtained. 2010 Mathematics Subject Classification: 33B15, 26D15, 26B25

Subfields: Applied Mathematics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/32bf8ec19d5eda491f370f3cb479efc89779e225