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In the paper, we establish the validity of the weighted discrete and integral Hardy inequalities with periodic weights and find the best possible constants in these inequalities. In addition, by applying the established discrete Hardy inequality to a certain second--order difference equation, we discuss some oscillation and nonoscillation results.
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참고문헌 (18)
참고문헌 신청
A. Z. Alimagambetova / 2007 / Criteria for the oscillation and nonoscillation of a second-order semilinear dierence equation / Mat. Zh 7(1):15~24
G. Bennett / 1987 / Some elementary inequalities / Quart. J. Math. Oxford Ser. 38(152):401~425
G. Bennett / 1988 / Some elementary inequalities. II / Quart. J. Math. Oxford Ser. 39(156):385~400
P. Gao / 2008 / Hardy-type inequalities via auxiliary sequences / J. Math. Anal. Appl 343(1):48~57
P. Gao / 2010 / On lp norms of weighted mean matrices / Math. Z 264(4):829~848
G. Bennett / 1987 / Some elementary inequalities / Quart. J. Math. Oxford Ser. 38(152):401~425
G. Bennett / 1988 / Some elementary inequalities. II / Quart. J. Math. Oxford Ser. 39(156):385~400
P. Gao / 2008 / Hardy-type inequalities via auxiliary sequences / J. Math. Anal. Appl 343(1):48~57
P. Gao / 2010 / On lp norms of weighted mean matrices / Math. Z 264(4):829~848
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