Inequalities for the generalised symmetric functions

A new inequality for symmetric functions

✍ Gustave A. Efroymson; Blair Swartz; Burton Wendroff 📂 Article 📅 1980 🏛 Elsevier Science 🌐 English ⚖ 792 KB

Let x, > 0, y, ) 0 for i = I,..., n; and let a,(x) be the elementary symmetric function of n variables given by a,(x) = C ,<rl<...<,,<n~r,...~r,.Definethepartial ordering x< y if a,(x) (a,(y), j= l,..., n. We show that x<y=-x"<y", 0 ( a < 1, where (x"), = x7 . We also give a necessary and sufficient

Inequalities for quasi-symmetric designs

✍ A.R Calderbank 📂 Article 📅 1988 🏛 Elsevier Science 🌐 English ⚖ 498 KB

Inequalities for Rational Functions

✍ Evsey Dyn'kin 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 284 KB

A new hyperbolic area estimate for the level sets of finite Blaschke products is presented. The following inversion of the usual Sobolev embedding theorem is proved: Here r is a rational function of degree n with poles outside D. This estimate implies a new inverse theorem for rational approximati

Inequalities for Cyclic Functions

✍ Horst Alzer; Stephan Ruscheweyh; Luis Salinas 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 98 KB

Inequalities for matrix functions

✍ Russell Merris 📂 Article 📅 1972 🏛 Elsevier Science 🌐 English ⚖ 380 KB

Inequalities for the Associated Legendre

Inequalities for the Associated Legendre Functions

✍ G. Lohöfer 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 260 KB

In this paper bounds for the associated Legendre functions of the first kind P m n (x) for real x # [&1, 1] and integers m, n are proved. A relation is derived that allows us to generalize known bounds of the Legendre polynomials P n (x)#P 0 n (x) for the Legendre functions P m n (x) of non-zero ord