#### Filter Results:

- Full text PDF available (3)

#### Publication Year

2002

2013

#### Publication Type

#### Co-author

#### Publication Venue

#### Key Phrases

Learn More

- Uri Elias
- The American Mathematical Monthly
- 2003

- Uri Elias, Allan Pinkus
- 2002

We consider the class of nonlinear eigenvalue problems (an ¡ 1 (x)(¢ ¢ ¢ (a1 (x)((a0 (x)u p 0 ¤) 0) p 1 ¤) 0 ¢ ¢ ¢) p n¡ 1 ¤) 0 = ¶ b(x)u r¤ ; where y p¤ = jyj p sgn y, p i > 0 and p0 p1 : : : pn ¡ 1 = r, with various boundary conditions. We prove the existence of eigenvalues and study the zero properties and structure of the corresponding eigenfunctions.

- D. AHARONOV, U. ELIAS, LING ZHU
- 2013

The article discusses several improvements of well known inequalities for trigonomet-ric functions. We utilize the monotonicity of the Riemann zeta function, as well as the Dirichlet eta, beta and lambda functions, to shorten the proofs of known inequalities for trigonometric functions, and to obtain new ones.

- Uri Elias
- The American Mathematical Monthly
- 2008

- Uri Elias, Allan Pinkus
- 2008

We consider the eigenvalue-eigenvector problem where p 1 p m?1 = r. We prove an analogue of the classical Gantmacher{Krein Theorem for the eigenvalue-eigenvector structure of STP matrices in the case where p i 1 for each i, plus various extensions thereof. A matrix A is said to be strictly totally positive (STP) if all its minors are strictly positive. STP… (More)

- ‹
- 1
- ›