R. Sakai

most citedThe de la Vallee Poussin mean and polynomial approximation for exponential weight

3 citations · 3 across the 6 of their papers we have counts for

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math.CA2014

Inequalities for derivative of polynomial approximation with Erdos type weight

Kentaro Itoh, Ryozi Sakai, Noriaki Suzuki

H. N. Mhaskar obtained the inequalities for derivative of polynomial approximation with Freud type weight. In this paper, we showed the counterpart of the inequalities with Erdos t…

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

An estimate for derivative of the de la Vallee Poussin mean

Kentaro Itoh, Ryozi Sakai, Noriaki Suzuki

In this paper, we discuss derivative of the de la Vallee Poussin mean for exponential weights on real line. When we lead an inequality, an estimate for the Christoffel function pla…

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…

math.CA2013★ 3 cited

The de la Vallee Poussin mean and polynomial approximation for exponential weight

K. Itoh, R. Sakai, N. Suzuki

We study the de la Vallee Poussin mean for exponential weights and give a polynomial approximation on real line. H. N. Mhasker proved the corresponding result for Freud-type weight…

Inequalities for derivative of polynomial approximation with Erdos type weight

Pointwise Convergence of Fourier-type Series with Exponential Weights

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

An estimate for derivative of the de la Vallee Poussin mean

Higher order derivatives of approximation polynomials on R

The de la Vallee Poussin mean and polynomial approximation for exponential weight

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

Higher order derivatives of approximation polynomials on $R$