scholarly journals Orthonormal polynomials with exponential-type weights

2008 ◽  
Vol 152 (2) ◽  
pp. 215-238 ◽  
Author(s):  
H.S. Jung ◽  
R. Sakai
Keyword(s):  
Exponential Type ◽  
Orthonormal Polynomials

scholarly journals Convergence and Divergence of Higher-Order Hermite or Hermite-Fejér Interpolation Polynomials with Exponential-Type Weights

2012 ◽  
Vol 2012 ◽  
pp. 1-31
Author(s):  
Hee Sun Jung ◽  
Gou Nakamura ◽  
Ryozi Sakai ◽  
Noriaki Suzuki
Keyword(s):  
Exponential Type ◽  
Higher Order ◽  
Divergence Theorem ◽  
Convergence Theorems ◽  
Approximation Process ◽  
Orthonormal Polynomials ◽  
Convergence And Divergence ◽  
Interpolation Polynomials

Let and let , where and is an even function. Then we can construct the orthonormal polynomials of degree for . In this paper for an even integer we investigate the convergence theorems with respect to the higher-order Hermite and Hermite-Fejér interpolation polynomials and related approximation process based at the zeros of . Moreover, for an odd integer , we give a certain divergence theorem with respect to the higher-order Hermite-Fejér interpolation polynomials based at the zeros of .

Functions in the Schwartz algebra that are invertible in the sense of Ehrenpreis

2019 ◽  
Vol 484 (1) ◽  
pp. 7-11
Author(s):  
N. F. Abuzyarova
Keyword(s):  
Entire Function ◽  
Exponential Type ◽  
Zero Set ◽  
Schwartz Algebra

We consider the problem of obtaining the restrictions on the zero set of an entire function of exponential type under which this function belongs to the Schwartz algebra and invertible in the sense of Ehrenpreis.

scholarly journals Semi-Exponential Operators

Symmetry ◽  
2021 ◽  
Vol 13 (4) ◽  
pp. 637
Author(s):  
Monika Herzog
Keyword(s):  
Exponential Type ◽  
Probabilistic Approach ◽  
Weighted Spaces ◽  
Approximation Properties

In this paper we study approximation properties of exponential-type operators for functions from exponential weighted spaces. We focus on some modifications of these operators and we derive a new example of such operators. A probabilistic approach for these modifications is also demonstrated.

Sign in / Sign up

Export Citation Format

Share Document