scholarly journals Cauchy means of Dirichlet polynomials

2016 ◽  
Vol 204 ◽  
pp. 61-79 ◽  
Author(s):  
Michel J.G. Weber
Keyword(s):  
Dirichlet Polynomials ◽  
Cauchy Means

scholarly journals Dirichlet polynomials, majorization, and trumping

2013 ◽  
Vol 46 (22) ◽  
pp. 225302 ◽  
Author(s):  
Rajesh Pereira ◽  
Sarah Plosker
Keyword(s):  
Dirichlet Polynomials

scholarly journals Characterization of the equality of Cauchy means to quasiarithmetic means

2020 ◽  
Vol 484 (1) ◽  
pp. 123700
Author(s):  
Rezső L. Lovas ◽  
Zsolt Páles ◽  
Amr Zakaria
Keyword(s):  
Quasiarithmetic Means ◽  
Cauchy Means

scholarly journals An inequality of Hardy–Littlewood type for Dirichlet polynomials

2015 ◽  
Vol 150 ◽  
pp. 191-205 ◽  
Author(s):  
Andriy Bondarenko ◽  
Winston Heap ◽  
Kristian Seip
Keyword(s):  
Dirichlet Polynomials

Multidimensional reversed Hardy type inequalities for monotone functions

2014 ◽  
Vol 07 (04) ◽  
pp. 1450055
Author(s):  
Saad Ihsan Butt ◽  
Josip Pečarić ◽  
Ivan Perić ◽  
Marjan Praljak
Keyword(s):  
Mean Value ◽  
Monotone Functions ◽  
Mean Value Theorems ◽  
Hardy Type Inequalities ◽  
Multidimensional Generalization ◽  
Exponential Convexity ◽  
Hardy Type ◽  
Cauchy Means

In this paper, we will give some multidimensional generalization of reversed Hardy type inequalities for monotone functions. Moreover, we will give n-exponential convexity, exponential convexity and related results for some functionals obtained from the differences of these inequalities. At the end we will give mean value theorems and Cauchy means for these functionals.

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