Some Inequalities on Generalized p − k Gamma and Beta Functions | Zendy

İncı Ege | Zendy; Emrah Yıldırım | Zendy

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Some 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.

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