The mapping  in normed linear spaces with applications to inequalities in analysis.

Dragomir, S.S.; Koliha, J.J.

Displaying similar documents to “The mapping $ν_{x, y}$ in normed linear spaces with applications to inequalities in analysis.”

Mapping $Φ^{P}$ 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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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 ${(\cdot, \cdot)}_{i}$ and ${(\cdot, \cdot)}_{s}$ and with semi-inner products $[\cdot, \cdot]$ (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.