scholarly journals Weighted inequalities for rough square functions through extrapolation

2002 ◽  
Vol 149 (3) ◽  
pp. 239-252 ◽  
Author(s):  
Javier Duoandikoetxea ◽  
Edurne Seijo
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.


2014 ◽  
Vol 176 (4) ◽  
pp. 615-622 ◽  
Author(s):  
P. K. Ratnakumar ◽  
Saurabh Shrivastava
Keyword(s):  

2014 ◽  
Vol 81 (3) ◽  
pp. 319-374 ◽  
Author(s):  
Jorge J. Betancor ◽  
Alejandro J. Castro ◽  
Lourdes Rodríguez-Mesa

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