참고문헌
- S. Abramovich, K. Krulic, J. Pecaric and L.E. Persson, Some new refined Hardy type inequalities with general kernels and measures Aequat. Math. 79 (2010), 157-172. https://doi.org/10.1007/s00010-010-0011-8
- A. Cizmesija, J. Pecaric and L.E. Persson, On Strengthened Hardy and Polya-Knopp inequalities J. Approx. Theory 125 (2003), 74-84. https://doi.org/10.1016/j.jat.2003.09.007
- G.H. Hardy, J.E. Littlewood and G. Polya, Inequalities, 2nd ed., Cambridge University Press, Cambridge, (1952)
- G.H. Hardy, Note on a theorem of Hilbert, Math. Z. 6, (1920), 314-317. https://doi.org/10.1007/BF01199965
- M. Johansson, L.E. Persson and A. Wedestig, Carleman's inequality- History, Proofs and Some new generalizations, J. Inequal. Pure Appl. Math. 4 (2003), 1443-5756.
- M. Johansson, Carleman type inequalities and Hardy type inequalities for monotone functions, Ph.D thesis, Lulea University of Technology, Sweden, (2007)
- S. Kaijser, L. Nikolova, L.E. Persson and A. Wedestig, Hardy-Type Inequalities Via Convexity, J. Math. Ineq. Appl. 8 (2005), 403-417.
- S. Kaijser, L. Nikolova, L.E. Persson and A. Oberg, On Carleman and Knopp's Inequalities, J. Approx. Theory 117 (2002), 140-151. https://doi.org/10.1006/jath.2002.3684
- A. Kufner, L. Maligranda and L.E. Persson, The Prehistory of the Hardy Inequality, Amer. Math. Monthly 113 (2006), 715-732. https://doi.org/10.2307/27642033
- A. Kufner, L. Maligranda and L.E. Persson, The Hardy inequality: About its History and Some Related Results, Vydavatelsky Sevis Publishing House, Pilsen, (2007)
- J.A. Oguntuase and L.E. Persson, Refinement of Hardy inequalities via superquadrattic and subquadratic functions, J. Math. Anal. Appl. 339 (2008), 1305-1312. https://doi.org/10.1016/j.jmaa.2007.08.007
- J.A. Oguntuase, L.E. Persson, E.K. Essel and B.A. Popoola, Refined multidimensional Hardy-Type Inequalities Via Superquadracity, Banach J. Math. Anal. 2 (2008), 129-139. https://doi.org/10.15352/bjma/1240336299
- C.A. Okpoti, L.E. Persson and A. Wedestig, A Scales of Weight Characterizations for discrete Hardy and Carleman type inequalities, Proc. Function Spaces, Differential Operators and Nonlinear Analysis (FS-DONA 2004), Math. Institute, Acad. Sci., Czech Republic, Milovy, (2004), 236-258.
- C.A. Okpoti, Weight characterizations of Discrete Hardy and Carleman's type inequalities, Ph.D thesis, Lulea University of Technology, Sweden, (2005)
- J. Pecaric and K.B. Stolarsky, Carleman's inequality: History and new generalizations, Aequat. Math. 61 (2001), 49-62. https://doi.org/10.1007/s000100050160