Polarization formula for $(p,q)$-polynomials on a complex normed space

Authors

  • A. V. Zagorodnyuk Vasyl Stefanyk Precarpathian National University, 57 Shevchenka, Ivano-Frankivsk, 76000, Ukraine https://orcid.org/0000-0002-5554-4342
  • T. V. Vasylyshyn Institute for Applied Problems of Mechanics and Mathematics, Ukrainian Academy of Sciences, 3-B Naukova, Lviv, 79060, Ukraine

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Abstract

The aim of this paper to give some analogues of polarization formulas and the polarization inequality for $(p,q)$-polynomials between complex normed spaces. Obtained results are useful for investigation of real-differentiable mappings on complex spaces.

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Published

2011-03-25

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Section

Articles

How to Cite

Zagorodnyuk, A. V., and T. V. Vasylyshyn. “Polarization Formula for $(p,q)$-Polynomials on a Complex Normed Space”. Methods of Functional Analysis and Topology, vol. 17, no. 1, Mar. 2011, pp. 75-83, https://zen.imath.kiev.ua/index.php/mfat/article/view/472.