English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

A remarkable theorem due to S. Bernsteinf asserts that if L is the maximum absolute value of an arbitrary polynomial Pn{x) of degree n in the interval {a, b) then the maximum absolute value of the derivative P/ (x) does not exceed nL[{b—x)(x — a)]~112 on {a, b). A related theorem for trigonometric sums states that if L is the maximum of the absolute value of a trigonometric sum of order », then the maximum absolute value of its derivative does not exceed nL.% A similar theorem is here given for the function e~x2Pn{x), where Pn{x) is an arbitrary polynomial of degree ».

On the maximum absolute value of the derivative of 𝑒^{-𝑥²}𝑝_{𝑛}(𝑥)