engleski

Some new weighted dynamic inequalities for monotone functions involving kernels

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.

time scale, the weighted Hardy inequality, weighted inequality, kernel, monotone function

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