Certain Inequalities Pertaining New Extended Beta Function

Abstract

The aim of present paper is to establish the logarithmic convexity and certain inequalities involving new extension of beta function by using fractional calculus operators. The Holder's and Chebychev's integral inequalities are using with new extension of beta function, to nd the logarithmic convexity and the monotonicity for new extended confluent hypergeometric function and Gauss hypergeometric function.