Title
More on Hölder's Inequality and It's Reverse via the Diamond-Alpha Integral.
Abstract
In this paper, we investigate some new generalizations and refinements for Holder's inequality and it's reverse on time scales through the diamond-alpha dynamic integral, which is defined as a linear combination of the delta and nabla integrals, which are used in various problems involving symmetry. We develop a number of those symmetric inequalities to a general time scale. Our results as special cases extend some integral dynamic inequalities and Qi's inequalities achieved on time scales and also include some integral disparities as particular cases when T=R.
Year
DOI
Venue
2020
10.3390/sym12101716
SYMMETRY-BASEL
Keywords
DocType
Volume
Holder's inequality,generalization,refinement,diamond-alpha integral,time scale
Journal
12
Issue
Citations 
PageRank 
10
0
0.34
References 
Authors
0
4
Name
Order
Citations
PageRank
Mohammed Zakarya101.01
Hoda A. Abd El-Hamid200.34
Ghada AlNemer301.69
Haytham M. Rezk402.37