On the integrability of double cosine and sine series, I
✍ Scribed by Ferenc Móricz
- Publisher
- Elsevier Science
- Year
- 1991
- Tongue
- English
- Weight
- 450 KB
- Volume
- 154
- Category
- Article
- ISSN
- 0022-247X
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In this paper we study weighted integrability of the sum of double cosine series. w The results obtained extend a theorem of Moricz Proc. Amer. Math. Soc. 109 ## Ž . x p 1990 417᎐425 on L -integrability of double cosine series and two theorems of w Ž . x p
completely integrable through the inverse scattering transform (see, for example, [1,11]) this allows us to study the In this, the first of two papers on the numerical solution of the sine-Gordon equation, we investigate the numerical behavior of a subsequent nonlinear evolution of the instabilities
## Abstract Let __S__\* (__f__ be the majorant function of the partial sums of the trigonometric Fourier series of __f.__ In this paper we consider the Orlicz space __L__π and give a generalization of Soria's result [S1]. Let π (t) be a concave function with some nice properties and . If there exi