MMN-660

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

Abstract

In this note we establish some estimates, involving the Euler Beta function, of the integral $\int^b_a (x-a)^p(b-x)^qf(x)dx$ for functions when a power of the absolute value is P-convex. An extension to functions of several variables is also obtained.


Vol. 15 (2014), No. 2, pp. 585-591
DOI: https://doi.org/10.18514/MMN.2014.660


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