Discrete Bernoulli Polynomials and the Best Constant of the Discrete Sobolev Inequality-Reference-Cited by-同舟云学术

Discrete Bernoulli Polynomials and the Best Constant of the Discrete Sobolev Inequality

Published:2008 Issue:2 Volume:51 Page:307-327
ISSN:0532-8721
Container-title:Funkcialaj Ekvacioj
language:en
Short-container-title:FE

Author:

Nagai Atsushi¹,Kametaka Yoshinori²,Yamagishi Hiroyuki²,Takemura Kazuo¹,Watanabe Kohtaro³

Affiliation:

1. Nihon University

2. Osaka University

3. National Defense Academy

Publisher

Division of Functional Equations, The Mathematical Society of Japan (JST)

Subject

Geometry and Topology,Algebra and Number Theory,Analysis

Link

http://www.jstage.jst.go.jp/article/fesi/51/2/51_2_307/_pdf

Reference6 articles.

1. [1] Kametaka, Y., Watanabe, K. and Nagai, A., The best constant of Sobolev inequality in an n dimensional Euclidean space, Proc. Japan Acad. Ser. A, 81 (2005), 57-60.

2. [2] Kametaka, Y., Yamagishi, H., Watanabe, K., Nagai, A. and Takemura, K., Riemann zeta function, Bernoulli polynomial and the best constant of Sobolev inequality, Sci. Math. Jpn., 65 (2007), 333-359.

3. [3] Komatsu, Y., Special functions [in Japanese], Asakura.

4. [4] Graham, R. L., Knuth, D. E. and Patashnik, O., Concrete Mathematics, Addison Wesley, 1994.

5. [5] Talenti, G., The best constant of Sobolev inequality, Ann. Mat. Pura Appl., 110 (1976), 353-372.

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