Open AccessSome Inequalities on Generalized p − k Gamma and Beta Functions
Author(s) -
İncı Ege,
Emrah Yıldırım
Publication year - 2021
Publication title -
asian research journal of mathematics
Language(s) - English
Resource type - Journals
ISSN - 2456-477X
DOI - 10.9734/arjom/2021/v17i430295
Subject(s) - convexity , beta (programming language) , mathematics , gamma function , beta function (physics) , logarithm , inequality , function (biology) , representation (politics) , pure mathematics , mathematical analysis , physics , computer science , finance , quantum mechanics , quantum gravity , evolutionary biology , politics , political science , law , economics , quantum , biology , programming language , relationship between string theory and quantum field theory
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 propertiesof these functions.