New integral inequalities via P-convexity

preprint2012arXivOpen access

Abstract

In this note we extend some new estimates of the integral ∫ab(x−a)p(b−x)qf(x)dx\int_a^b (x-a)^p(b-x)^qf(x)dx for functions when a power of the absolute value is P−P-convex.

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