Some Inequalities on Generalized p − k Gamma and Beta Functions
Inci Ege *
Department of Mathematics, Aydın Adnan Menderes University, Aydın, 09100, Turkey
Emrah Yıldırım
Department of Mathematics, Aydın Adnan Menderes University, Aydın, 09100, Turkey.
*Author to whom correspondence should be addressed.
Abstract
In this work, we firstly introduce the integral representation of the generalized p-k beta function and then employ well-known Chebychev’s and H¨older’s inequalities to obtain some inequalities on generalized p - k gamma and beta functions. Also, we show the logarithmic convexity properties
of these functions.
Keywords: Inequality, generalized p − k gamma function, generalized p − k beta function, convexity