| Home  | About ScienceAsia  | Publication charge  | Advertise with us  | Subscription for printed version  | Contact us  
Editorial Board
Journal Policy
Instructions for Authors
Online submission
Author Login
Reviewer Login
Volume 50 Number 4
Volume 50 Number 3
Volume 50 Number 2
Volume 50 Number 1
Volume 49 Number 6
Volume 49 Number 5
Earlier issues
Volume  Number 

next article

Research articles

ScienceAsia 50 (2024):ID 2024059 1-6 |doi: 10.2306/scienceasia1513-1874.2024.059


Further multi-term refinements of Youngs type inequalities and its applications


ChangSen Yang, YaNan Wang*

 
ABSTRACT:     We obtain some refined Young?s type inequalities in this paper. And the results are given as follows. Let a, b > 0, 0 ? ? ? ? ? 1, then for any positive integer N: if m 2N < ? ? ? ? m+1 2N for m ? {0, 1, 2, ??? , 2N ? 1}, we have a?? b ? K 2 N ??m  2 N? b a , 2 a?? b + XN?1 l=0 rl (?) 2Xl k=1 q a 1? k?1 2l b k?1 2l ? q a 1? k 2l b k 2l 2 X k?1 2l , k 2l (?) + 2 N ? ? m 2N ? ? m

Download PDF

0 Downloads 86 Views


a School of Mathematics and Information Science, Henan Normal University, Xinxiang, Henan 453007 China

* Corresponding author, E-mail: 15517376731@163.com

Received 4 Jun 2023, Accepted 17 May 2024