Mapping in normed linear spaces and characterization of orthogonality problem of best approximations in 2-norm.
Singh, Vinai K., Kumar, Santosh (2009)
General Mathematics
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Displaying similar documents to “The mapping in normed linear spaces with applications to inequalities in analysis.”
Mapping in normed linear spaces and characterization of orthogonality problem of best approximations in 2-norm.
Two mappings related to semi-inner products and their applications in geometry of normed linear spaces
Sever Silvestru Dragomir, Jaromír J. Koliha (2000)
Applications of Mathematics
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In this paper we introduce two mappings associated with the lower and upper semi-inner product and and with semi-inner products (in the sense of Lumer) which generate the norm of a real normed linear space, and study properties of monotonicity and boundedness of these mappings. We give a refinement of the Schwarz inequality, applications to the Birkhoff orthogonality, to smoothness of normed linear spaces as well as to the characterization of best approximants.
On strictly convex and strictly 2-convex 2-normed spaces. II.
Lin, C.-S. (1992)
International Journal of Mathematics and Mathematical Sciences
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Theorems of ε-pseudoorthogonal decomposition in normed linear spaces.
Sever Silvestru Dragomir (1990)
Extracta Mathematicae
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Some remarks on inequalities that characterize inner product spaces.
Alonso, Javier (1992)
International Journal of Mathematics and Mathematical Sciences
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On minimal points
Gliceria Godini (1980)
Commentationes Mathematicae Universitatis Carolinae
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Inequalities for Beta and Gamma functions via some classical and new integral inequalities.
Dragomir, S.S., Agarwal, R.P., Barnett, N.S. (2000)
Journal of Inequalities and Applications [electronic only]
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Rectangular modulus and geometric properties of normed spaces.
Serb, Ioan (1999)
Mathematica Pannonica
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On the calculation of the Dunkl-Williams constant of normed linear spaces
Hiroyasu Mizuguchi, Kichi-Suke Saito, Ryotaro Tanaka (2013)
Open Mathematics
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Recently, Jiménez-Melado et al. [Jiménez-Melado A., Llorens-Fuster E., Mazcuñán-Navarro E.M., The Dunkl-Williams constant, convexity, smoothness and normal structure, J. Math. Anal. Appl., 2008, 342(1), 298–310] defined the Dunkl-Williams constant DW(X) of a normed linear space X. In this paper we present some characterizations of this constant. As an application, we calculate DW(ℓ2-ℓ∞) in the Day-James space ℓ2-ℓ∞.