Abstract
In this chapter, we prove some dynamic Hardy-type inequalities on time scales with two different weight functions. This chapter is divided into two sections. In Sect. 5.1, we prove some weight inequalities which as special cases contain the results due to Copson, Bliss, Flett and Bennett by a suitable choice of weight functions. In Sect. 5.2, we prove some dynamic inequalities on time scales which involve some discrete inequalities formulated by Copson, Leindler, Bennett, Chen and Yang.
No mathematician should ever allow him to forget that mathematics, more than any other art or science, is a young man’s game. Galois died at twenty-one, Abel at twenty-seven, Ramanujan at thirty-three, Riemann at forty. There have been men who have done great work later; but I do not know of a single instance of a major mathematical advance initiated by a man past fifty. A mathematician may still be competent enough at sixty, but it is useless to expect him to have original ideas.
Godfrey Harold Hardy (1877–1947).
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Agarwal, R.P., O’Regan, D., Saker, S.H. (2016). Weighted Hardy Type Inequalities. In: Hardy Type Inequalities on Time Scales. Springer, Cham. https://doi.org/10.1007/978-3-319-44299-0_5
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DOI: https://doi.org/10.1007/978-3-319-44299-0_5
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