Almost-orthogonality and weighted inequalities

Author(s):  
Javier Duoandikoetxea
2019 ◽  
Vol 2019 (1) ◽  
Author(s):  
Hui Lei ◽  
Gou Hu ◽  
Zhi-Jie Cao ◽  
Ting-Song Du

Abstract The main aim of this paper is to establish some Fejér-type inequalities involving hypergeometric functions in terms of GA-s-convexity. For this purpose, we construct a Hadamard k-fractional identity related to geometrically symmetric mappings. Moreover, we give the upper and lower bounds for the weighted inequalities via products of two different mappings. Some applications of the presented results to special means are also provided.


1999 ◽  
pp. 145-170 ◽  
Author(s):  
Nets Hawk Katz ◽  
María Cristina Pereyra

2010 ◽  
Vol 471 ◽  
pp. 1-53
Author(s):  
Caroline Sweezy ◽  
J. Michael Wilson

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