engleski

Some new dynamic Hardy-type inequalities with kernels involving monotone functions

The main objective of the present paper is an extension of several classical integral Hardy-type inequalities with kernels to a time scales setting. The established inequalities refer to a class of monotone functions and they are characterized by appropriate relations for the accompanying weight functions. As an application, we obtain the corresponding discrete Hardy-type inequalities for monotone sequences, which are essentially new.

time scales, the weighted Hardy inequality, kernel, monotone function, dynamic inequality

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