A symmetric Norlund sum with application to inequalities

Artur M. C. Brito da Cruz; Natalia Martins; Delfim F. M. Torres

doi:10.1007/978-1-4614-7333-6_44

A symmetric Norlund sum with application to inequalities

Classical Analysis and ODEs 2013-09-24 v1

Authors: Artur M. C. Brito da Cruz , Natalia Martins , Delfim F. M. Torres

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Abstract

Properties of an $\alpha,\beta$ -symmetric Norlund sum are studied. Inspired in the work by Agarwal et al., $\alpha,\beta$ -symmetric quantum versions of Holder, Cauchy-Schwarz and Minkowski inequalities are obtained.

Keywords

symmetric Norlund sum inequalities Holder inequality Cauchy-Schwarz inequality Minkowski inequality quantum versions

Cite

@article{arxiv.1203.2212,
  title  = {A symmetric Norlund sum with application to inequalities},
  author = {Artur M. C. Brito da Cruz and Natalia Martins and Delfim F. M. Torres},
  journal= {arXiv preprint arXiv:1203.2212},
  year   = {2013}
}

Comments

Submitted 18-Oct-2011; accepted 09-March-2012; to Proceedings of International Conference on Differential & Difference Equations and Applications, in honour of Professor Ravi P. Agarwal, to be published by Springer in the series Proceedings in Mathematics (PROM)

A symmetric Norlund sum with application to inequalities

Abstract

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