Hee-Sun Jung

collaborators

3 papers

math.CA2014

Pointwise Convergence of Fourier-type Series with Exponential Weights

Hee Sun Jung, Ryozi Sakai

Let $R = (- \infty, \infty)$ , and let $Q \in C^{1} (R) : R \to [0, \infty)$ be an even function. We consider the exponential weights $w (x) = e^{- Q (x)}$ , $x\in…

math.CA2014

$L_{p}$ -Convergence of higher order Hermite or Hermite-Fejér interpolation polynomials with exponential-type weights

Hee Sun Jung, Ryozi Sakai

Let $R = (- \infty, \infty)$ , and let $Q \in C^{1} (R) : R \to R^{+} = [0, \infty)$ be an even function, which is an exponent. We consider the weight $…

math.CA2014

Higher order derivatives of approximation polynomials on $R$

Hee Sun Jung, Ryozi Sakai

D. Leviatan has investigated the behavior of the higher order derivatives of approximation polynomials of the differentiable function $f$ on $[- 1, 1]$ . Especially, when $P_{n}$ is the…

Pointwise Convergence of Fourier-type Series with Exponential Weights

Lp​-Convergence of higher order Hermite or Hermite-Fejér interpolation polynomials with exponential-type weights

Higher order derivatives of approximation polynomials on R

$L_{p}$ -Convergence of higher order Hermite or Hermite-Fejér interpolation polynomials with exponential-type weights

Higher order derivatives of approximation polynomials on $R$