Hi(adsbygoogle = window.adsbygoogle || []).push({});

Let p(x,y)≥0 be a polynomial of degree n such that p(x,y)=0 only for x=y=0.Does there exist a positive constant C such that the inequality p(x,y)≥C (IxI+IyI)^n (strong inequality!) holds for all -1≤x,y≤1?

The simbol I I stands for absolute value.

**Physics Forums - The Fusion of Science and Community**

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Two variables polynomial

Loading...

Similar Threads - variables polynomial | Date |
---|---|

Rational Bezier Curve to Polynomial Bezier Curve Conversion? | May 20, 2012 |

Invariant Polynomials on complexified bundles with connection | Mar 18, 2011 |

Geodesic in plane when metric depends on single variable? | Jul 30, 2009 |

Mapping with change of variable | Jul 5, 2009 |

Inverse function of a function of two variables | May 11, 2006 |

**Physics Forums - The Fusion of Science and Community**