Integral closure and bounds for quotients of multiplicities of monomial ideals
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DOI: 10.1016/j.jalgebra.2017.12.030
Abstract: Abstract Given a pair of monomial ideals I and J of finite colength of the ring of analytic function germs ( C n , 0 ) → C , we prove that some power of… read more here.
Keywords: quotients multiplicities; integral closure; bounds quotients; closure bounds ... See more keywords
Bounds for Quotients of Inverse Trigonometric and Inverse Hyperbolic Functions
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DOI: 10.3390/axioms11060262
Abstract: We establish new simple bounds for the quotients of inverse trigonometric and inverse hyperbolic functions such as sin−1xsinh−1x and tanh−1xtan−1x. The main results provide polynomial bounds using even quadratic functions and exponential bounds under the… read more here.
Keywords: trigonometric inverse; bounds quotients; inverse trigonometric; hyperbolic functions ... See more keywords