Submission guidelines

Instructions for Authors

Instructions for Authors

Submission of Manuscripts

Manuscripts should be submitted by email as PDF files to Please keep the .tex file that corresponds to the PDF version. If your paper is accepted, we will require the .tex file. Please do not send the .tex file at the time of submission.

Alternatively, a hard copy of the manuscript may be submitted by mail to:

E.B. Saff, Editor-in-Chief, Constructive Approximation, Department of Mathematics, Vanderbilt University, Nashville, TN 37240, USA.

Please make sure to provide the following information with your manuscript: E-mail address; Full postal address; Telephone and fax numbers.

All manuscripts must be written in acceptable English and should contain an abstract; key words and phrases; and current MSC classification numbers. (See "Does Springer provide English language support" below.)

Please use one of these four acceptable numbering systems when numbering the mathematical statements in your paper (Theorems, Propositions, etc., see link below)

References should be prepared in numerical style and presented in alphabetical order by author’s last name. The list of references should only include works that are cited in the text and that have been published or accepted for publication.

Color can be published in the electronic edition of the journal at no charge to the author if appropriate electronic files are provided. Color will only be included in the print edition when the author covers the additional expense of color printing. The cost to print color will be provided when the author is sent page proofs during the production process.

numbering systems

Guidelines for Electronically Produced Illustrations for Print


Send illustrations separately from the text (i.e. files should not be integrated with the text files). Always send printouts of all illustrations.

Vector (line) Graphics

Vector graphics exported from a drawing program should be stored in EPS format.

Suitable drawing program: Adobe Illustrator. For simple line art the following drawing programs are also acceptable: Corel Draw, Freehand, Canvas.

No rules narrower than .25 pt.

No gray screens paler than 15% or darker than 60%.

Screens meant to be differentiated from one another must differ by at least 15%.

Spreadsheet/Presentation Graphics

Most presentation programs (Excel, PowerPoint, Freelance) produce data that cannot be stored in an EPS format. Therefore graphics produced by these programs cannot be used for print.

Halftone Illustrations

Black & white and color illustrations should be saved in TIFF format.

Illustrations should be created using Adobe Photoshop whenever possible.


Scanned reproductions of black and white photographs should be provided as 300 ppi TIFF files.

Scanned color illustrations should be provided as TIFF files scanned at a minimum of 300 ppi with a 24-bit color depth.

Line art should be provided as TIFF files at 600 ppi.

* We do prefer having the original art as our printers have drum scanners which allow for better reproduction of critical medical halftones.

Graphics from Videos

Separate files should be prepared for frames from a video that are to be printed in the journal. When preparing these files you should follow the same rules as listed under Halftone Illustrations.

Guidelines for Electronically Produced Illustrations for ONLINE


Quicktime (.mov) is the preferred format, but .rm, .avi, .mpg, etc. are acceptable.

No video file should be larger than 2MB. To decrease the size of your file, consider changing one or more of the following variables: frame speed, number of colors/greys, viewing size (in pixels), or compression. Video is subject to Editorial review and approval.

Editing Services


How can you help improve your manuscript for publication?

Presenting your work in a well-structured manuscript and in well-written English gives it its best chance for editors and reviewers to understand it and evaluate it fairly. Many researchers find that getting some independent support helps them present their results in the best possible light. The experts at Springer Nature Author Services can help you with manuscript preparation—including English language editing, developmental comments, manuscript formatting, figure preparation, translation, and more.

Get started and save 15%

You can also use our free Grammar Check tool for an evaluation of your work.

Please note that using these tools, or any other service, is not a requirement for publication, nor does it imply or guarantee that editors will accept the article, or even select it for peer review.

Chinese (中文)


如果在结构精巧的稿件中用精心组织的英语展示您的作品,就能最大限度地让编辑和审稿人理解并公正评估您的作品。许多研究人员发现,获得一些独立支持有助于他们以尽可能美好的方式展示他们的成果。Springer Nature Author Services 的专家可帮助您准备稿件,具体包括润色英语表述、添加有见地的注释、为稿件排版、设计图表、翻译等。

开始使用即可节省 15% 的费用



Japanese (日本語)


内容が適切に組み立てられ、質の高い英語で書かれた論文を投稿すれば、編集者や査読者が論文を理解し、公正に評価するための最善の機会となります。多くの研究者は、個別のサポートを受けることで、研究結果を可能な限り最高の形で発表できると思っています。Springer Nature Author Servicesのエキスパートが、英文の編集、建設的な提言、論文の書式、図の調整、翻訳など、論文の作成をサポートいたします。




Korean (한국어)

게재를 위해 원고를 개선하려면 어떻게 해야 할까요?

여러분의 작품을 체계적인 원고로 발표하는 것은 편집자와 심사자가 여러분의 연구를 이해하고 공정하게 평가할 수 있는 최선의 기회를 제공합니다. 많은 연구자들은 어느 정도 독립적인 지원을 받는 것이 가능한 한 최선의 방법으로 자신의 결과를 발표하는 데 도움이 된다고 합니다. Springer Nature Author Services 전문가들은 영어 편집, 발전적인 논평, 원고 서식 지정, 그림 준비, 번역 등과 같은 원고 준비를 도와드릴 수 있습니다.

지금 시작하면 15% 할인됩니다.

또한 당사의 무료 문법 검사도구를 사용하여 여러분의 연구를 평가할 수 있습니다.

이러한 도구 또는 기타 서비스를 사용하는 것은 게재를 위한 필수 요구사항이 아니며, 편집자가 해당 논문을 수락하거나 피어 리뷰에 해당 논문을 선택한다는 것을 암시하거나 보장하지는 않습니다.

Open access publishing

To find out more about publishing your work Open Access in Constructive Approximation, including information on fees, funding and licenses, visit our Open access publishing page.