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Norm Inequalities Involving Upper Bounds for Operators in Orlicz-Taylor Sequence Spaces

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Mathematics and Computing (ICMC 2018)

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Abstract

An Orlicz extension of the results obtained by Talebi (Indag Math (NS) 28(3):629–636, 2017 [1]) is given. Indeed, the upper bounds for the operator norm \(\Vert A\Vert _{l_\varphi , t_{\varphi }^{\alpha }}\) are evaluated, where A is either generalized Hausdorff or Nörlund matrix, \(l_\varphi \) and \(t_{\varphi }^{\alpha }\), respectively, denote the Orlicz and Orlicz-Taylor sequence spaces.

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Correspondence to Atanu Manna .

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Manna, A. (2018). Norm Inequalities Involving Upper Bounds for Operators in Orlicz-Taylor Sequence Spaces. In: Ghosh, D., Giri, D., Mohapatra, R., Sakurai, K., Savas, E., Som, T. (eds) Mathematics and Computing. ICMC 2018. Springer Proceedings in Mathematics & Statistics, vol 253. Springer, Singapore. https://doi.org/10.1007/978-981-13-2095-8_26

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