A topology on inequalities.
D'Aristotile, Anna Maria, Fiorenza, Alberto (2006)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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D'Aristotile, Anna Maria, Fiorenza, Alberto (2006)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Németh, J. (2001)
Acta Mathematica Academiae Paedagogicae Nyí regyháziensis. New Series [electronic only]
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Sreenadh, K. (2002)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Kufner, A. (2010)
Banach Journal of Mathematical Analysis [electronic only]
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Castillo, René Erlin, Trousselot, Eduard (2009)
Acta Mathematica Academiae Paedagogicae Nyí regyháziensis. New Series [electronic only]
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Bouchekif, Mohammed, El Mokhtar, Mohammed E.O. (2011)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Natan Kruglyak, Lech Maligranda, Lars-Erik Persson (2006)
Revista Matemática Complutense
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We present a direct proof of a known result that the Hardy operator Hf(x) = 1/x ∫ f(t) dt in the space L = L(0, ∞) can be written as H = I - U, where U is a shift operator (Ue = e, n ∈ Z) for some orthonormal basis {e}. The basis {e} is constructed by using classical Laguerre polynomials. We also explain connections with the Euler differential equation of the first order y' - 1/x y = g and point out some generalizations to the case with weighted L (a,...
Gadjiev, Tahir S., Aliev, Sardar Y. (2005)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Kuang Jichang (2014)
Matematički Vesnik
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Kufner, A., Kuliev, K., Kulieva, G. (2008)
Banach Journal of Mathematical Analysis [electronic only]
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Dragomir, Sever S., Kim, Young-Ho (2003)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Akdim, Youssef, Benkirane, Abdelmoujib, Rhoudaf, Mohamed (2006)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Fleckinger, Jacqueline, Harrell, Evans M.II, de Thélin, François (2001)
Electronic Journal of Differential Equations (EJDE) [electronic only]
Similarity: