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Some New Weighted Dynamic Inequalities for Monotone Functions Involving Kernels

Mediterranean Journal of Mathematics • 2020
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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.