Some New Weighted Dynamic Inequalities for Monotone Functions Involving Kernels
Mediterranean Journal of Mathematics • 2020
Publication Information
Authors
Samir H. Saker; Ahmed I. Saied ; Mario Krnic
Keywords
Time scale, the weighted Hardy inequality, weighted inequality, kernel, monotone function.
Journal
Mediterranean Journal of Mathematics
Publisher
Samir H. Saker; Ahmed I. Saied ; Mario Krni´
Volume
17
Issue
2
Pages
1-18
publication.type
International
Paper Link
Open Link
Supplementary Materials
ahmed ibrahim mohammed mahmoud abosaied_Saker2020_Article_SomeNewWeightedDynamicInequali(1).pdf
Abstract
Abstract. In the present article, we derive several new weighted dynamic inequalities for monotone functions involving kernels, some of which are the Hardy-type inequalities. The established inequalities are characterized by appropriate relations for the accompanying weight functions. Our results are time scale extensions of several classical weighted inequalities known from the literature. As an application, we obtain the corresponding discrete weighted inequalities for monotone sequences, which are essentially new.
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